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The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certainday, 252 people entered the park, and the admission fees collected totaled 728 dollars. How many childrenand how many adults were admitted?Your answer isnumber of children equalsnumber of adults equalso

User Gaurav Raj
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1 Answer

11 votes
11 votes

Answer: Number of children = 112, number of adult = 140

Let the number of children = x

Let the number of adult =

According to the question, 252 people entered the park

Mathematically, the number of adult and children that entered the park sum up to 252

x + y = 252 ------- equation 1

$1.5 is charged for children for the admission fee into the park

$4 is charged for adult for the admission fee into the park

A totaled of $728 was realized from both children and adult that were admitted into the park

This implies that the total amount realized is equal to the number of children and adults inside the park per amount charged respectively

1.5* x + 4 * y = 728

1.5x + 4y = 728 -------- equation 2

Equation 1 and 2 can be solve simultaneously using substitution method

x + y = 252 ----- 1

1.5x + 4y = 728 ------ 2

Make x the subject of the formula in equation 1

x + y = 252

x = 252 - y ----- equation 3

Substitute equation 3 into equation 2

1.5(252 - y ) + 4y = 728

Open the parenthesis

1.5 x 252 - 1.5 x y + 4y = 728

378 - 1.5y + 4y = 728

Collect the like terms

-1.5y + 4y = 728 - 378

2.5y = 350

Divide both sides by 2.5

y = 350/2.5

y = 140

To find x, put the value of y into equation 1

x + y = 252

x = 252 - y

x = 252 - 140

x = 112

The number of children = 112

The number of adults = 140

User Los Frijoles
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