How many people swam?

Question

556 people used the public pool. The daily prices are $1.50 for children and $2 for adults. The receipts for admission totaled $921. How many adults and children swam?

Answer 1

let x = number of children, and y = number of adults.

then x + y = 556

 

then $1.50x + $2y = $921

 

solve the first equation for x, and substitute that value into the second equation, which will permit you to solve the second equation for one of the variables.

 

x = 556 - y

 

$1.50(556 - y) + $2y = $921, which becomes $834 - 1.5y + 2y = $921

y = 174, so x = 556 - 174 = 382

 

174 x 2 + 382 x 1.50 = 921