A group of people pays $720 for admission tickets to an amusement park. The price of an adult ticket is $15, and a child ticket is $8. There are 25 more adults than children. How many children are in the group?
Define a variable ** Let X be the number of children in the group.
How many adults are in the group? ** The number of adults in the group is X+<<+25=25>>25.
Write an equation ** The group pays 8*X + 15*(X+25) = $720.
Simplify ** Multiplying through the parentheses, we get 8X + 15X + 375 = $720
Simplify ** Combining like terms, we get 23X + 375 = 720
Simplify ** Subtracting 375 from both sides, we get 23X = 720 - 375 = $345
Divide by 23 ** Dividing both sides by 23, we get X = $345 / 23 = <<345/23=15>>15 children.
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