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

Answer:

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

Step-by-step 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  $=\ [(1.50\times x)+2.25(253-x)]$

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

                                                                $=\ [569.25-0.75x]$

According to the problem,

$569.25-0.75x=446.25$

$\Rightarrow -0.75 x=446.25-569.25$

$\Rightarrow -0.75 x=-123$

$\Rightarrow x=\frac{123}{0.75}$

$\Rightarrow x=164$

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