Problema Solution
An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. Matt paid an admission fee for his five nephews and rented four pairs of ice skates. He was charged $36.00. Mariah paid the admission fees for her four grandchildren and rented two pairs of ice skates. She was charged $24.00. What is the admission fee? What is the rental fee for a pair of skates?
Answer provided by our tutors
let
a = admission fee
r = the rental fee for a pair of skates
Matt paid an admission fee for his five nephews and rented four pairs of ice skates. He was charged $36.00.
5a + 4r = 36
Mariah paid the admission fees for her four grandchildren and rented two pairs of ice skates. She was charged $24.00.
4a + 2r = 24
by solving the system of equations
5a + 4r = 36
4a + 2r = 24
we find
a = $4
r = $4
click here to see the step by step solution of the system of equations
the admission fee is $4.
the rental fee for a pair of skates is $4.