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5 January, 14:55

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

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Answers (1)
  1. 5 January, 17:23
    0
    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
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