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

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

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Where is the diagram?