SOLUTION: On a certain hot​ summer's day, 361 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.25 for adults. The receipts for admission totaled $ 6

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Question 1160483: On a certain hot​ summer's day, 361 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.25 for adults. The receipts for admission totaled $ 632.25. How many children and how many adults swam at the public pool that​ day?
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


By standard algebra....

x = # of children
361-x = # of adults



Solve using basic algebra -- although the decimals make the calculations a bit messy.

Alternatively -- but it doesn't simplify the solution process, since the numbers aren't "nice"....

361 people all children would make a total of 361(1.50) = 541.50.
632.25-541.50 = 90.75.
The difference of $90.75 is because of the additional $0.75 per adult.
90.75/.75 = 121.
The number of adults was 121; the number of children was 361-121 = 240.
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