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 [tex]=\$[(1.50\times x)+2.25(253-x)][/tex]
[tex]=\$[1.50x+569.25-2.25x][/tex]
[tex]=\$[569.25-0.75x][/tex]
According to the problem,
[tex]569.25-0.75x=446.25[/tex]
[tex]\Rightarrow -0.75 x=446.25-569.25[/tex]
[tex]\Rightarrow -0.75 x=-123[/tex]
[tex]\Rightarrow x=\frac{123}{0.75}[/tex]
[tex]\Rightarrow x=164[/tex]
Therefore 164 children and (253-164)=89 adults swam at the public pool that day.