Question

Twenty one children and three teachers went to the movies. The total bill was $105. The price for

teachers (adults) was $1 more than the price for the children. What was the admission price for each
child, c, and each adult, a?
Oc= $4.00
a = $5.00
Oc= $4.25
a = $5.25
Oc=$4.50
a = $4.25
Oc= $5.80
a = $7.95

Answer 1

c = price of child ticket = $4.25

a = price of adult ticket = $4.25 + $1.00 = $5.25

Explanation:

A child ticket costs c and an adult ticket costs a = c + 1.

21 children pay c dollars each for admission, and

3 teachers pay c + 1 dollars each for admission.

Thus,

21c + 3(c + 1) = $105, and

21c + 3c + 3 = $105, so that:

24c = $102

c = price of child ticket = $4.25

a = price of adult ticket = $4.25 + $1.00 = $5.25