A water park had 9081 visitors in June. The ratio of adult to children was 4 : 5. An adult ticket costs $10 and a child's ticket costs $8. In July the ticket prices increased to $15 for an adult and $11 for a child. The number of visitors fell to 7000 in July, split in the ratio 2 : 5, adults to children. The park manager thinks that sales had increased by more than 5%. Is he correct? Give a reason for your answer.

Answers

Answer 1

Answer:

Yes, the manager is correct

Step-by-step explanation:

In order to know this, we need to determine the total sale of the park in June and July for both adults and children.

In the month of june we have the following:

Visitors: 9081

Ratio A:C = 4:5

Adult ticket: 10$

Child ticket: 8$

So, if the ratio is 4:5, we can say that in 9 visitors, we have 4 adults and 5 child, therefore we can determine how many adults went in june:

If  4 adults --------> 9 people

Then  X adults ---------> 9081 people

Solving for X:

X = 9081 * 4 / 9 = 4036 adults

This means that the number of child is:

C = 9081 - 4036 = 5045 childs

The total sales of the park in June would be:

T = (4036 * 10) + (5045 * 8) = 80,720$

This is the sale for the month of June. Let's apply the same procedure to the month of July, and then, we'll compare the sales and the percentage.

In the month of july we have the following:

Visitors: 7000

Ratio A:C = 2:5

Adult ticket: 15$

Child ticket: 11$

So, if the ratio is 2:5, we can say that in 7 visitors:

If  2 adults --------> 7 people

Then  X adults ---------> 7000 people

Solving for X:

X = 7000 * 2 / 7 = 2000 adults

This means that the number of child is:

C = 7000 - 2000 = 5000 childs

The total sales of the park in June would be:

T = (2000 * 15) + (5000 * 11) = 85,000$

As we can see, the month of July was better, now, let's calculate the percentage of increase:

% = 85,000 - 80,720 / 85,000

% = 0.05035 * 100

% = 5.035%

Hence, we can conclude that the manager was right and it was a increase of more than 5% (But just for a pinch).

Hope this helps


Related Questions

What is the solution set of {x | x < 2} U {x | x ≥ 2}?

the empty set
all numbers less than -2 and greater than 2
all real numbers
the numbers between -2 and 2

Answers

Answer:

All real numbers.

Step-by-step explanation:

The set includes 2 AND all numbers less than 2 AND all numbers greater than 2.

Answer:

All real numbers.

Step-by-step explanation:

What is the density of an object that has a mass of 11 g and volume of 5.5
mL?

Answers

You answer should be 2. Do the Mass and volume. Equation which is Volume divide by mass equals 2 hope this help

Which net represents this triangular prism?​

Answers

Answer:

The top right one.

Hope this helps :)

write the ratio 54 inches to 7 feet as a fraction in the simplest form​

Answers

Answer:

54/7 since it cannot get simplified.

Step-by-step explanation:

Someone please help ?

Answers

Answer:

Im sorry what is the question? I cant see the image clearly.

Step-by-step explanation:

Answer:

repost theres no question

find the length of side a
will mark brainly

Answers

Answer:

5

Step-by-step explanation:use the cube to count(cube is in the corner.)

I really need help!

Mr Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment. What is the probability that both students are girls? (Leave the answer in simplified fraction form.)

Answers

Answer:

3/20

Step-by-step explanation:

Total number of students = 15 + 10 = 25

Number of girls = 10

Number of ways to select 2 students =

Number of ways to select 2 girls =

Compute the probability of selecting two girls as follows:

Thus, the probability that both students are girls is 0.15.

0.15 simplified in fraction from: 3/20

how many ounces are in 6 1/4 pounds(show your work)

Answers

Answer:

100 oz

Step-by-step explanation:

to find out how many ounces in a quarter pound, multiply 16 by ... 1/8 lb = 2 oz; 1/4 lb = 4 oz; 1/3 lb = 5.33 oz; 1/2 lb = 8 oz; 1 lb = 16 oz; 1.5 lb

Answer:

100 ounces

Step-by-step explanation:

there are 16 oz in a pound, so, 6 x 16 = 96 oz. And in 1/4 lbs there are 4 oz, so, when you add that to 96, it equals 100 oz.

The ratio of exterior angle and interior angle of a regular polygon is 12:6. The name of the regular polygon is

Answers

Answer:

Equilateral triangle

Step-by-step explanation:

sum the parts of the ratio, 12 + 6 = 18 parts

exterior angle + interior angle = 180°

180° ÷ 18 = 10° ← value of 1 part of the ratio , then

6 parts = 6 × 10° = 60° ← interior angle

12 parts = 12 × 10° = 120° ← exterior angle

The sum of the exterior angles of a polygon = 360°

Divide 360° by 120° to find number of sides

360° ÷ 120° = 3

and since the interior angles are 60° , then

polygon is an equilateral triangle

There are 96 blue paperclips in a bag. The number of blue paperclips is 4 times the number of yellow paperclips that are in the bag. Write a multiplication equation that can be used to find △, the number of yellow paperclips in the bag. Show how to solve the equation and include the answer

Answers

Answer:

△ is 24. I found this out by dividing 96 by 4, since the number of blue paperclips is 4 times the amount of yellow paperclips. A multiplication equation that can be used is 4x=96. X is the number of yellow paperclips. Hope this helped!

Step-by-step explanation:

How many solutions does the equation 2(x+1) = 2x+1 have?

Answers

Answer:

No Solutions

Explanation:

2(x + 1) = 2x + 1

Simplify both sides of the equation

2(x + 1) = 2x + 1

(2)(x) + (2)(1) = 2x + 1 [Distribute]

2x + 2 = 2x + 1Subtract 2x from both sides

2x + 2 − 2x = 2x + 1 − 2x

2 = 1

Subtract 2 from both sides

2 − 2 = 1 − 2

0 = −1

This Is False, Therefore There Are No Solutions

- PNW

Activity: Find three different single digit numbers that
multiply together to give 120.

Answers

Answer:

Step-by-step explanation:

5,4,6

5×4=20 and 20×6=120

Could I uh get some help this is two days overdue and I uh didnt notice until now so... ;-;"​

Answers

Answer:

4

Step-by-step explanation:

to understand thisyou need to know about:meanPEMDASlet's solve:

according to the question

[tex] = \sf\frac{2 + 2 + 2 + 3 + 3 + 4 +5 + 7 + 8}{9} [/tex]

[tex]\sf = \frac{36}{9}[/tex]

[tex]\sf = 4 [/tex]

therefore

our balance point is 4

The balance point is 4

Help this is due in 30 mins
The graph shows the amount of money you and your brother are saving for a trip to a water park.
Your brother saves $----- less than you each week.

Answers

Answer:

you save $90 each week your brother save $71 each week.

so your answer would be your brother saves $19 less than you each week

If P and S are rational numbers and R and Q are irrational numbers which of these statements is true?

Answers

Answer: B. The product of P and S is always a rational number.

Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.

Help please What is the simplified answer to
-x< -29

Answers

Answer:

[tex]x>29[/tex]

Step-by-step explanation:

[tex]-x<-29[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1} <\frac{-29}{-1} \\x>29[/tex]

x > 21 is your answer.

What is the solution to the system of equations y = -1/2 x + 1 and y = 2x + 6?

Answers

Answer:

Since by the 2nd equation, we know that y is the same as 6-x, we can substitute that for y in the first equation:

y = 2x + 3 -> 6 - x = 2x + 3 -> 6 = 3x + 3 -> 3 = 3x -< x = 1 and by either of the two equations, that derives y = 5

Step-by-step explanation:

Answer:

ok you can use subsitution for this one

since y=2x+6

subsitute 2x+6 for y

3x-(2x+6)=6

3x-2x-6=6

add like terms

x-6=6

add 6 to both sides

x=12

subsitute

y=2x+6

y=2(12)+6

y=24+6

y=30

x=12

y=30

(x,y)

(12,30)

Step-by-step explanation:

Find the area of the trapezoid

Answers

Answer:

16 cm²

Step-by-step explanation:

In the graph y = the square root of x
When x = 2

y =
(Round to the thousandths place [3 decimal places])
PLEASE DONT JUST TAKE MY POINTS, ASAP I AM WILLING 13 POINTS

Answers

The correct answer is 1.414 or 1

Decrease £6,000 by 4% and then by 5%.

Answers

The answer is exactly £5,472


The diagram shows a square ABCD.
D
N
bu
A
M
I
Mis the midpoint of AB.
Nis the midpoint of AD.
The area of the shaded triangle AMN is 18 cm
Work out the area of triangle MCN.

Answers

Answer:The diagram shows a square ABCD.

D

N

bu

A

M

I

Mis the midpoint of AB.

Nis the midpoint of AD.

The area of the shaded triangle AMN is 18 cm

Work out the area of triangle MCN.

5b is the area of MCN

Step-by-step explanation:

what is 47 times 23 ?

Answers

Answer:

1081

Step-by-step explanation:

Answer:

1,081 its this number

7,12,13,14,15,14,19,14,13,10,11,7,18,20,14,16,14,18,13

find the median?​

Answers

Answer:

14

Step-by-step explanation:

its 14 because its listed more then once i mean so is 13 but 14 is listed 6 times and 13 is listed 3 times

so there for your answer is 14

The ages, in years, of Sharice’s family members are shown. What is the mean absolute deviation of the data set?
2, 5, 18, 20, 31, 45, 76, 54, 34, 82

Answers

Answer:Statistics Calculator: Mean Absolute Deviation (MAD). Use this calculator to compute the mean absolute deviation from a data set. Data is from: ... Values must be numeric and may be separated by commas, spaces or new-line. Press the ..

Step-by-step explanation:

Answer:

the answer is 14

Step-by-step explanation:

(-9) / *fill the blank* = 5

Answers

Answer:-1.8

Step-by-step explanation:

I need the points bro

Find the area of the figure.​

Answers

Step-by-step explanation:

Area of this figure = 14×11+5×2+11×2

=154+10+22

186m²

Answer:

164 sq. m.

Step-by-step explanation:

Cut the figure into 2 seperate shapes to find the area of them separately. (I cut it so that I had a 5*2 figure and a 14*11 figure)

14*11 because 16-5=11

14*11=154

5*2=10

154+10=164 sq. m.

^^ this up here ok ok ok ok ok

Answers

Answer:

E is the correct answer

Step-by-step explanation:

Answer:

e!

Step-by-step explanation:

hope it helps :]

What is 0.66% of 9,500 is

Answers

Answer:

62.7

Step-by-step explanation:

Answer:

62.7%

Step-by-step explanation:

Hurry help me solve this equation.

Answers

Answer:

Step-by-step explanation:

the 3rd one

I am pretty sure is the third one

Go step by step to reduce the radical.

Answers

Answer:

Step-by-step explanation:

You can begin by breaking down √(160) into its prime factors.

160 = 2 * 2 * 2 * 2 * 2 * 5

√(160) = √(2 * 2 * 2 * 2 *2 * 5)

This can be broken down further by

2 * 2√2 * 5

For every 2 factors that are the same, take one outside the brackets

4 √10

I suppose the way you are supposed to write this is √16 * √10

I'm not sure I'm right. There are 2 square root signs there and it is the only way I can think of to use 2 square root signs.

Other Questions
19E molar/molal Test What is the measure of Zy? Hint: Zo is a right angle. In the graph y = the square root of xWhen x = 2 y =(Round to the thousandths place [3 decimal places]) what is the most important part of an Atom? Why? What is the 2nd step when simplifying this expression 50 + 72 (10) 450 plus 4914 times 1010 minus 449 times 10 and the measured absorbance of a sample solution is 0.367, what is the ferroin concentration in the measured solution Pls guys help me !!! I will mark you as brain lies. You are selling candy bars. It cost $140 fora startup fee and $1.50 per candy bar. Yourincome is based on the fact that you areselling the candy bars for $4.00 each.1) What is the profit from selling 40 candy bars? The profit is $ ........ 2) What is the profit selling 100 candy bars? The profit is $ ....... 3) In order to break even you must sell .......... candy bars.4) The minimum of candy bars you must sell in order to start making positive profit is .......... candy bars. Which of these activities promotes the most sustainable use of resources? Yo soy ___ de baloncesto.A. equipoB. partidoC. jugador Technology is rarely responsible for cultural change true or false 11Dawson just ran 20 miles to prepare for a marathon. On his way home he stopped at Burger King and ordered 6whoppers for $21. Write an equation to represent his order, then solve it. 17 POINTS AND BRAINIEST Find the literary device in this poem Becky needs to put 4 cups of flour into her bread maker to make one loaf of bread. She is using a measuring cup that holds 13 cup of flour. How many 13 cups of flour will she need to make a loaf of bread? IT IS IN SCIENCE {When a rock is exposed to chemical weathering, it What is the GCF of 15x^2y and 45xy 16a+5y=17 solve for y just need help with question #5 pls The countries of Italy, Spain, Portugal, and Norway are located on which type of landform?A. desertB. fjordC. peninsulaD. valley Find the area of the triangle with A = 35, b = 11 feet, and c = 10 feet. Round to the nearest tenth. A solution is made using 148.5 g of dimethyl ether (MM = 46.07 g/mol) and 90.0 g of methanol (MM = 32.04 g/mol). What is the mole fraction of the dimethyl ether in the solution?