Question

on a certain hot summer day 656 people used the public swimming pool. the daily prices are $1.75 for children and $2.00 for adults. the receipt for admission totaled $1220.50. how many children and how many adult swam at the public pool that day?

Answer 1

total number that used the pool = 656

price per child = $1.75

price per adult = $2.00

Total admision cost = $1220.50

Let

x = number of children

y = number of adult

Therefore,

`\begin{gathered} x+y=656 \\ 1.75x+2y=1220.50 \end{gathered}`
`\begin{gathered} 1.75(656-y)+2y=1220.50 \\ 1148-1.75y+2y=1220.50 \\ 0.25y=1220.50-1148 \\ y=(72.5)/(0.25) \\ y=290 \\ \\ x=656-290 \\ x=366 \end{gathered}`

Number of children = 366

Number of Adult = 290