Problema Solution

THE ZOO CHARGES $9 FOR AN ADULT ADMISSION AND $5 FOR EACH CHILD. TOTAL BILL FOR 191 PEOPLE WAS $1095. HOW MANY ADULTS AND HOW MANY CHILDREN WENT TO ZOO?

Answer provided by our tutors

we can assume that x = # of children and y = # of adults. x+y=191 and (x*5)+(y*9)=1095.

we can see that it can be rewritten as y=191-x; (x*5((191-x)*9)=1095.

5x + 1719 - 9x = 1095

-4x = -624

x = 156. This is the number of children

so the number of adults are y = 191 -x = 191-156 = 35

The number of adults is 35.

we can check by:

156($5) + 35($9) = $1095