Question

On a certain hot​ summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1367.25. How many children and how many adults swam at the public pool that​ day?

Answer 1

327 children and 318 adults

Explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

0.75y=238.5

Divide both sides by 0.75

y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day