Question

Swimming Pool On a certain hot​ summer's day, 253 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.25 for adults. The receipts for admission totaled $ 446.25 . How many children and how many adults swam at the public pool that​ day?

Answer 1

Therefore 164 children and 89 adults swam at the public pool that day.

Explanation:

Given that,

253 people used the public swimming pool.

The daily prices for children are $1.50 and for adults are $2.25.

Let the number of children be x.

Then number of adult is (253-x)

The total money collect on that day is
`=\$[(1.50* x)+2.25(253-x)]`

`=\$[1.50x+569.25-2.25x]`

`=\$[569.25-0.75x]`

According to the problem,

`569.25-0.75x=446.25`

`\Rightarrow -0.75 x=446.25-569.25`

`\Rightarrow -0.75 x=-123`

`\Rightarrow x=(123)/(0.75)`

`\Rightarrow x=164`

Therefore 164 children and (253-164)=89 adults swam at the public pool that day.