An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his six nephews and rented five pairs of ice skates. He was charged $32.00. Juanita paid the admission fees for her seven grandchildren and rented five pairs of ice skates. She was charged $35.25. What is the admission fee? What is the rental fee for a pair of skates?
Answer
A
admission fee: $3.25skate rental fee: $2.50
B
admission fee: $3.50skate rental fee: $3.00
C
admission fee: $3.00skate rental fee: $2.00
D
admission fee: $4.00skate rental fee: $3.50
Explanation
Let a be the admission fee per child and r the rental fee per pair of skates. The totals give 6a + 5r = $32.00 and 7a + 5r = $35.25. Subtracting the first equation from the second shows that one admission fee is $3.25. Substituting gives 6($3.25) + 5r = $32.00, so r = $2.50. The answer is admission fee $3.25 and skate rental fee $2.50.
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