Question

Ramon rented a sprayer and a generator on his first job he used each piece of equipment for 6 hours at a total cost of $90 on his second job he used the sprayer for 4 hours and the generator for 8 hours at a total cost $100 what was the hourly cost of each piece of equipment

Answer 1

Given:
Sprayer and generator

1st Job: 6 hours each for a total of $90
2nd Job: 4 hours sprayer and 8 hours generator for a total of $100

Let x = spayer ; y = generator

6x + 6y = 90
4x + 8y = 100

6x = 90 - 6y
x = 90/6 - 6y/6
x = 15 - y

4x + 8y = 100
4(15-y) + 8y = 100
60 - 4y + 8y = 100
4y = 100 - 60
4y = 40
y = 40/4
y = 10

x = 15 - y
x = 15 - 10
x = 5

Sprayer = 5 per hour ; generator = 10 per hour

To check:
6x + 6y = 90
6(5) + 6(10) = 90
30 + 60 = 90
90 = 90

4x + 8y = 100
4(5) + 8(10) = 100
20 + 80 = 100
100 = 100