Question

Penny purchases 100 tickets for her youth services group to attend a waterpark. Child

admissions are $14.00 each while adult admissions are $19.00 each. If the total cost for
the tickets was $1470, how many of each type of ticket did she purchase?
work and circle final answer

Answer 1

She bought 86 child tickets and 14 adult tickets.

Explanation:

14x+19y=1470

x+y=100

--------------------------

14x+19y=1470

-14(x+y=100)

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14x+19y=1470

(+) -14x-14y=-1400

+19y=1470

-14y=-1400

5y=70

y=14

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x+14=100

x=86