Problema Solution

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 ticket did she purchase?

Answer provided by our tutors

Let

x = the number of child tickets

y = the number of adult tickets

x + y = 100

14x + 19y = 1470

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click here to see the system of equations solved for x and y

........

x = 86 child tickets

y = 14 adult tickets

Penny purchased 86 child and 14 adult tickets.