Question

Swimming Pool On a certain hot summer's day, 455 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The

receipts for admission totaled $850.75. How many children and how many adults swam at the public pool that day?


There were___


children at the public pool.

Answer 1

• 237 children
• 218 adults

Explanation:

You want to know the number of children and adults at the pool, where 455 paid a total of $850.75 in admission, with children paying $1.75 and adults paying $2.00.

Setup

It is convenient to solve problems of this sort by letting a variable represent the number of the highest contributor to the mix. Here, we can let 'a' represent the number of adults, since the adult ticket price is highest. Then the number of children is (455 -a) and the total revenue is ...

1.75(455 -a) +2.00a = 850.75

Solution

Simplifying the equation, we have ...

796.25 +0.25a = 850.75

0.25a = 54.50 . . . . . . . . . . . subtract 796.25

a = 218 . . . . . . . . . . . . . divide by 0.25

(455 -218) = 237 . . . . . the number of children

There were 237 children and 218 adults at the public pool that day.

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