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

c = price of child ticket = $4.25

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

Step-by-step 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