Question

At the local art exhibit, childrens tickets cost $3 each and adult tickets cost $4 each. On a certain day, the exhibit sold 56 tickets and earned $203 in revenue. How many childrens tickets and how many adult tickets were sold?

Answer 1

Children=21 Adult=35

Explanation:

[using c for children tickets and a for adult tickets]

56=c+a and 203=3c+4a [starting system of equations]

a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]

203=3c+224-4c [simplify]

-21=-c [simplify 2.0]

c=21 [simplify 3.0]

56=21+a [plugging back into org. eq.]

so a=35