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

Question

Mathematics

Dante Webster

19 September, 15:21

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

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Answers (1)

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Shawn · 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