Question

An amusement park sells adult tickets and children’s tickets, with adults tickets costing $5 and children’s tickets costing $3. If Ed bought 15 tickets and spent a total of $57, how many children’s tickets did he buy? 3 5 6 9

Answer 1

Ed bought 9 children's tickets.

Explanation:

y = adult tickets

x = children tickets

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x + y = 15

3x + 5y = 57

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-3x - 3y = -45

3x + 5y = 57

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2y = 12

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y = 6

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x + 6 = 15

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x = 9

Answer 2

Hi there!

In order to solve this problem, we'll need to create a system of equations. These equations are: x + y = 15 and 5x + 3y = 57. Using this system of equations, we can use substitution to find one variable. Then, we can use substitution again to find the other variable.

WORK:
x = 15 - y
5(15 - y) + 3y = 57
75 - 5y + 3y = 57
75 - 2y = 57
-2y = -18
y = 9 children's tickets

x = 15 - 9
x = 6 adult tickets

ANSWER:
Ed purchased 9 children's tickets

Hope this helps!! :)
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