Question

481 people used the pool, prices are $1.25 per child, $2.25 per adult. Total admission for the day was $865.25. How many kids and adults swam at the pool

Answer 1

217 kids and 264 adults swam at the pool

Explanation:

Let

x ----> the number of kids

y ----> the number of adults

we know that

`x+y=481`

`x=481-y` ----> equation A

`1.25x+2.25y=865.25` -----> equation B

Solve the system by substitution

substitute equation A in equation B

`1.25(481-y)+2.25y=865.25`

solve for y

`601.25-1.25y+2.25y=865.25`

`601.25+y=865.25`

`y=865.25-601.25`

`y=264`

Find the value of x

`x=481-264=217`

therefore

217 kids and 264 adults swam at the pool