Thread: Find Hourly Cost

Ramón 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 of $100. What was the hourly cost of

each piece of equipment?

Hi there

Originally Posted by magentarita

Ramón 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 of $100. What was the hourly cost of

each piece of equipment?

On his first job:

he used EACH PIECE ...
what does that mean? He used the sprayer for 6 hours and he used the generator for 6 hours,

=> 6*CostSprayer + 6*CostGenerator = $90

Because cost = 90$

On his second job:

He used the sprayer for 4 hours

=> 4*CostSprayers

and used the generator for 8 hours

=> 8*CostGenerator

at total cost =$100


=> 4*CostSprayer + 8 CostGenerator = $100

(of course you add CostSprayer and CostGenerator to get the total costs)

Thus there are to equations
6*CostSprayer + 6*CostGenerator = $90
4*CostSprayer + 8 CostGenerator = $100

Can you solve it?

Solution:

CostSprayer = $5 per hour, CostGenerator $10 per hour

Originally Posted by Rapha

Hi there



On his first job:

he used EACH PIECE ...
what does that mean? He used the sprayer for 6 hours and he used the generator for 6 hours,

=> 6*CostSprayer + 6*CostGenerator = $90

Because cost = 90$

On his second job:

He used the sprayer for 4 hours

=> 4*CostSprayers

and used the generator for 8 hours

=> 8*CostGenerator

at total cost =$100


=> 4*CostSprayer + 8 CostGenerator = $100

(of course you add CostSprayer and CostGenerator to get the total costs)

Thus there are to equations
6*CostSprayer + 6*CostGenerator = $90
4*CostSprayer + 8 CostGenerator = $100

Can you solve it?

Solution:

CostSprayer = $5 per hour, CostGenerator $10 per hour

Thank you so much.