Question

On a certain hot​ summer's day, 694 people used the public swimming pool. The daily prices are $ 1.25 for children and $ 2.50 for adults. The receipts for admission totaled $ 1257.50 . How many children and how many adults swam at the public pool that​ day?

Answer 1

382 children and

312 adults swam

Explanation:

Let the number of children be x

And let the number of adult be y

Hence on a hot summer day

x +y = 694 - - - - - - - 1

x= 694-y

Also the daily prices are $ 1.25 for children and $ 2.50 for adults

1.25x + 2.50y= 1257.50-------2

Let us substitute x= 694-y in equation 2

1.25(694-y) + 2.50y =1257.50

867.5-1.25y +2.50y = 1257.50

-1.25y+2.50y= 1257.58-867.5

1.25y= 390

y= 398/1.25

y= 312

Substitute y= 312 in equation 1 to find x

x + 312= 694

x= 694-312

x= 382

Hence 382 children and

312 adults swam