While on vacation a group can rent bikes and scooters by the week. They gett a reduced rental rate if they rent 5bikes for every two scooters rented. The reduced rate per bike is $15.50 amd the reduced rate per scooter is $160 a week. The sales tax on each rental is 12%.

Question

The group has $1600 available to spend on bike amd scooter rentals. What is the greatest number of bikes amd the greatest number of scooters the group can rent if the ratio of bikes to scooters is 5:2?

PLEASE help and say how u got your answer!

Answer 1

5x = The # of bikes rented.
2x = The # of scooters renteb

15.50*1.12*5x + 160*1.12*2x = 1600.
86.8x + 358.4x = 1600
445.2x = 1600
X = 3.59

Bikes = 5 * 3.59 = 18

Scooters = 2 * 3.59 = 7.