The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled $7620. How many children and how many adults were admitted?

Answers

Answer 1
35x + 20y = 7620
x+y=276

Y=276-x
35x+20(276-x)=7620
35x+5520-20x=7620
15x=2100
X=140
140+y=276
Y=136
140 adults and 136 children
Answer 2

Total number of children are 116 and adults are 160.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the number of children entered in park = x

And the number of adults entered in park = y

Fee for children = $20

Fee for adults = $35

According to given condition,

Total number of people = 276

⇒x+y = 276     (1)

Total fees collected = $7620

⇒20x+35y = 7620      (2)

By solving equation (1) and (2),

The value of x is 116

And value of y is 160

Total number of children are 116 and adults are 160.

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Related Questions

A bulletin board is 11 feet by 6 feet. The area of the board is what square feet.​

Answers

Answer:

66 feet sq.

Step-by-step explanation:

Eleven times six would be sixty-six.

Break up 11 into its tens and ones

11*6 =60

1*6 =6

Add the two, 60+6 =66

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f = -5f(x) = 4x - 9Add 9 to both sidesf(x) + 9 = 4xDivide x from both sidesf + 9 = 4Subtract 9 from both sidesf = -5Please let me know if I am wrong.

6. How many of the integers between 20 and 40 are
odd?
b)11
d)12
c12​

Answers

Answer: 10

Step-by-step explanation:

List out the numbers:

20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40

There are 10 odd numbers

Otherwise a faster method:

Odd numbers occur every other number

There are 40 - 20 = 20 numbers between 20 and 40

20/2 = 10

10 odd numbers

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Step-by-step explanation:

if the function is x the answer is 1 hope it helps

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QUESTION 1

1️⃣Remove parentheses

6a+6+3x-2+2a+4

2️⃣Collect like terms

(6a+2a)+(6-2+4)+3x

3️⃣Simplify

8a+8+3x

Answer: 8a+8+3x

QUESTION 2

1️⃣Remove parentheses.

-2z-3+4c+6y+y+3c

2️⃣Collect like terms.

-2z-3+(4c+3c)+(6y+y)

3️⃣Simplify

-2z-3+7c+7y

Answer: -2z-3+7c+7y

QUESTION 3      

1️⃣Subtracting (7.8 - 5.1t) from (2.8 - 3.2t)  

(2.8 - 3.2t) - (7.8 - 5.1t)  

2️⃣Remove the parentheses.  

2.8 - 3.2t - 7.8 + 5.1t  

= 5.1t - 3.2t + 2.8 - 7.8 (we have now shown the difference in another way)  

3️⃣Subtracting the like terms, will give:

1.9t - 5  

4️⃣Recall  

(2.8 - 3.2t) - (7.8 - 5.1t).  

(-3.2t + 2.8) - (-5.1t + 7.8)

Answer:

a. (-3.2t + 2.8) - (-5.1t + 7.8)  

b. 1.9t - 5  

c. (-3.2t + 2.8) - (-5.1t + 7.8)

QUESTION 4

1️⃣Simplify

1/2p-(1/4p-4)

2️⃣Simplify

p2-(p/4-4)

3️⃣Simplify

p2-p/4+4

4️⃣Combine Terms

(p/2-p/4)+4

5️⃣Combine Terms

p/4+4

Answer: p/4+4

Done ✔

WILL GIVE BRAINLYIST

Answers

Answer:

64 degrees

Step-by-step explanation:

Since the triangles are similar they have the same angle measures

[tex]\frac{PR}{PQ} =\frac{SU}{ST}[/tex]          [tex]\frac{21}{14}= \frac{6}{4}[/tex]

∠P = ∠S ∠R =∠U ∠Q=∠T

We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U

In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula

[tex]A+B+C=180[/tex]

[tex]46+70+C+180[/tex]

[tex]116+C=180[/tex]

subtract 116 from both sides

[tex]C=64[/tex]

Therefore ∠Q is equal to 64 degrees

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Step-by-step explanation:

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Step-by-step explanation:

The slope-intercept equation for the line is,

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What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

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