Question

Swimming Pool On a certain hot​ summer's day, 519 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1045.25. How many children and how many adults swam at the public pool that​ day? There were nothing children at the public pool.

Answer 1

children= 245

adults= 274

Explanation:

Step one:

let the number of children be x

and adults be y

So

1.75x+2.25y=1045.25------------1

and

x+y=519---------------2

the systems of the equation for the situation is

1.75x+2.25y=1045.25------------1

x+y=519---------------2

from 2, x= 519-y

put x= 519-y in 1

1.75(519-y)+2.25y=1045.25

908.25-1.75y+2.25y=1045.25

collect like terms

1.75y+2.25y=1045.25-908.25

0.5y=137

divide by 0.5

y=137/0.5

y=274

put y= 274 in 1

x+274=519

x=519-274

x=245