Question

On a certain hot​ summer's day, 512 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $914.00. How many children and how many adults swam at the public pool that​ day?

Answer 1

There were 238 children and 274 adults.

Explanation:

Let x = the number of children.

Let y = the number of adults.

x + y = 512 ⇒ x -1.25 ⇒ -1.25x - 1.25y = -640

1.25x + 2.25y = 914 ⇒ 1.25x + 2.25y = 914

y = 274

y = 274

This is the number of adults.

Substitute 274 for y to solve for x.

x + y = 512

x + 274 = 512 Subtract 274 from both sides

x + 274 - 274 = 512 - 274

x = 238

This is the number of children.

Check:

x + y = 512

238 + 274 = 512

512 = 512 check

1.25(238) + 2.25(274 = 914

297.50 + 616.50 = 914

914 = 914 checks.

Helping in Jesus' name.

Answer 2

Explanation:

Children costs - $1.25

Adults - $2.25

Total admission - $914.00

Children = 640 = 512 x $1.25

Adult = 274 = 914 - 640