The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and $7,100 is collected. How many adults and how many children were at the fair?

Answers

Answer 1

Answer:

C = 580 children.

A = 420 adult.

Step-by-step explanation:

Let the number of children be C.

Let the number of adult be A.

Translating the word problem into an algebraic equation, we have;

A + C = 1000  .......equation 1

10A + 5C = 7100  .......equation 2

A = 1000 - C .......equation 3

Substituting eqn 3 into eqn 2, we have;

10(1000 - C) + 5C = 7100

10000 - 10C + 5C = 7100

10000 - 7100 = 10C - 5C

2900 = 5C

C = 2900/5

C = 580 children.

Now, to find the value of A.

From equation 3;

A = 1000 - C

A = 1000 - 580

A = 420 adult.


Related Questions

PLEASE HELP!! WILL GIVE BRAIN AND FIVE STARS

Answers

Given:-

HM = 2x+5 FM = X+8 HF = 3x+2 perimeter (∆HFM) = 51 units

To find:-

whether ∆ HFM is congruent to ∆FMK

Solution:-

:[tex]\implies[/tex] perimeter (∆HFM) = HM+FM+HF

:[tex]\implies[/tex] 51 = 2x+5+x+8+3x+2

:[tex]\implies[/tex] 51 = 6x+15

:[tex]\implies[/tex] 36 = 6x

:[tex]\implies[/tex] x = 6 units.

in ∆HFM,

HM = 2x+5 = 2(6)+5 = 12+5 = 17units FM = X+8 = 6+8 = 14 units HF = 3x+2 = 3(6)+2 = 20 units

in ∆KFM,

FM = 14 units KF = 4x-3 = 4(6)-3 = 21 units MK = 3x-1 = 3(6)-1 = 17 units

Since, all the sides of one triangle does not correspond to the other, these traingles are not congruent.

Hope it helps ⭐⭐⭐

What's the square root of 64 times 3

Answers

Answer:

24

Step-by-step explanation:

Answer:

About 13.86

Step-by-step explanation:

64 x 3 = 192

[tex]\sqrt{} 192[/tex] = 13.8564064606

If you were asking what [tex]\sqrt{64}[/tex] multiplied by 3 was, that answer would be 24. I read it as if you were asking what [tex]\sqrt{64 x 3}[/tex] is. :)

Find the 101th term in the arithmetic sequence -3,-5,-7,-9,-11

Answers

The answer would be 95

This year, a town has a budget of $1,000,000. Next year, the budget will increase by 2.5%.
What will the town's budget be next year?
A $1,025,000
B) $1,250,000
С
$2,050,000
D
$2,500,000

Answers

Answer:

A

Step-by-step explanation:

1000000·2.5=2500000

2500000÷100=25000

1000000+25000=1025000

A because 2.5 percent of a million is 25,000 so u add those together

A loan of $25,000 has an annual simple interest rate of 5.5%. The total cost of the loan is $38,750.
How much total interest will you pay?

How long does it take to repay the loan?

Answers

You will pay about $134407323


Step by step explanation;

How long will it take for $1,000 to double at a simple interest rate of 5.5%

Answers

Answer:

12.63

Step-by-step explanation:

2/3 divided by 1/9

?????

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

A triangle has an area of 55 cm² and a base of 10 cm².

What is the height of the triangle?

Answers

Answer:

11 cm

Step-by-step explanation:

Answer:

11 Cm

Step-by-step explanation:

b Base

10

cm

A Area

55

cm²

γ

c

a

h

b

b

h

b

h

b

c

γ

a

b

a

c

b

γ

P

c

γ

a

b

A

Using the formula

A=hbb

2

Solving forhb

hb=2A

b=2·55

10=11cm

The table below represents a function. Which of the following equations could be its function rule?

Answers

Answer:

it's the 3rd choice, Y= -3x

Help mee !! I’ll give points !!

Answers

Answer: It is (x - 3)(x + 5)

O(-
Determine if (-2, -1) is a Solution or
Not a Solution to the linear system.
y = 3x + 5
x + y = -3
Please answer!!!

Answers

Answer:

It is a Solution

Step-by-step explanation:

y=3(-2)+5         y=-1

(-2)+y=-3          y=-1

Maste
1) 2,000 pounds of sand is to be put into 100-pound bags. Each bag will sell
for $5.00. How much is the sand worth altogether?

Answers

Answer: 100$

Step-by-step explanation:

there are 20 bags because 2000 divided by 100 is 20 and 20 times five pounds is £100

help pls i dont no

Answers

Step-by-step explanation:

[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]

So choose option 1st

-1 67/93

Hope it will help :)

Answer: -1 67/93

Explain:

The first one is the answer because you have to keep change and flip and it has to be a negative because when you divide a negative by a positive it gives you a negative

Can I have a brainliest

the graph of part of linear function G is shown on thw grid. which inequality best represents the range of the part shown?​

Answers

It should be -9 < x <= 2

Calculate
8 - 72 - 8+8-6

Answers

Answer:

-70

Step-by-step explanation:

8 -72- 8 + 8- 6= -70

Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possible explain

Answers

Answer:

1/6 ; 2/6 ; 2/6

Step-by-step explanation:

To split 5/6 into. 3 different fractions with the same denominator and different numerator values;

The integer value of the numerator 5 can be divided into 3 different whole Number values ;

It could be :

5 = 3 + 1 + 1

5 = 2 + 2 + 1

Hence, we could have ;

3/6 +. 1/6 + 1/6

Or

2/6 + 2/6 + 1/3

If a car travels 7.5 miles in ¼ hour, how many miles will it go in 1 hour?

Answers

30 miles
Since its 1/4 hour that pass you multiply 7.5 with 4

Which number is not an integer? Select all that apply.
1.33
a.
b. -7
c.
d. 4
e. O
f. -1.63

Answers

Answer:

A and 1.33 and -1.63

Step-by-step explanation:

A integer is a whole number, it's either positive or negative.

Simplify to find the quotients . 24. ) (a ^ 8)/(a ^ 3)

Answers

Answer:

a^5 is the answer

Step-by-step explanation:

a^8 / a³

= a^8 - 3

= a^5

Answer:

a^5

Step-by-step explanation:

The Husky student store is selling CIF football playoff tickets. The cost is $6 per child ticket and $12 per adult ticket. The student store sells a total
of 304 tickets and earns a total of $2640. Determine the number of each type of ticket sold. Remember to show all 7 steps

Answers

Answer:

Your answer.

X = 168, Y = 136

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

Find the square root of 64a^2/9b^2+4+32a/3b​

Answers

Answer:

[tex]\frac{4.(ab+3^2}{9}[/tex]

Step-by-step explanation:

Find the measure of

Answers

Answer:

m∡GHI = 21°

Step-by-step explanation:

Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.

That means you can set them equal to each other

x + 7 = 3x - 21

x = 14

Now plug x into GHI

14 + 7 = 21

m∡GHI = 21°

Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n

Answers

Answer:

Step-by-step explanation:

N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n

n¹¹ · n⁴ ÷ n³ · n² ÷ n

n¹⁵ ÷ n³ · n² ÷ n

n⁵ · n² ÷ n

n¹⁰ ÷ n

n⁹

Answer:

1

Step-by-step explanation:

because u didnt have 1 plus its counting down on the numbers so i think its 1

PLEASE HELP

Which of the following are solutions of the equation (2x-3) (3x+5)=-14

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

X=1/3 ,1/2
Decimal form
0.3,-0.5

When I halve it,
the result is 24 less than 46.

what is the number? ​

Answers

Answer: 44

Step-by-step explanation:

46 - 24 = 22 (when halved so you need to multiply by 2)

22 * 2 = 44

Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100

Answers

Answer:

D

Step-by-step explanation:

The sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12, d = 4 and n = 30 , then

[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]

     = 15(24 + 116)

     = 15 × 140

     = 2100 → D

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.

What is the Sum of arithmetic series?

The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows

Sn = n/2 [2a₁ + (n-1)d].

as given in the problem

a₁ =12, d = 4, and n = 30

Sn = 30/2 [2×12 + (30-1)×4]

    = 2100

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.

Learn more about the arithmetic series from here

https://brainly.com/question/16415816

#SPJ5

Please help! Giving points :)!

Answers

Answer:

C

Step-by-step explanation:

3/5 + 1/4 = 0.85

0.85 as a fraction is 17/20

So the answer is C

5x+7 but the given x=6

Answers

Answer:

37

Step-by-step explanation:

5 x 6 = 30

30+7=37

Answer:

37

Step-by-step explanation:

5x + 7

x = 6

All you need to do is substitute the "x" with "6" since that has been given....

5(6) + 7

30 + 7

37

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Please help me out with this guys

Answers

To find the x- intercept, suptitude in 0 for y and solve for x

To the nearest tenth, find the area of a circle with a
diameter of 8 meters. Use 3.14

Answers

Answer:

28.3

Step-by-step explanation:

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