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? Let's answer step by step:
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Let X be the number of children in the group. The number of adults in the group is X + 25. The group pays 8 * X + 15 * (X + 25) = $720. Multiplying through the parentheses, we get 8X + 15X + 375 = $720. Combining like terms, we get 23X + 375 = 720. Subtracting 375 from both sides, we get 23X = 720 - 375 = $345. Dividing both sides by 23, we get X = $345 / 23 = 15 children. The answer: 15.
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