Confusing Word Problem Need Help?

Question

Sarah decides to paint her house. Company A charges 100.00 for paint and 30.00 per hour. Company B charges 135.00 for paint and 25.00 per hour.

How many hours would result in the same cost for both companies?

If the job takes 15 hours, which company should she hire to pay the least?

Answer 1

You once again need to set them equal to one another and solve for x.  Also, now that I have told you how, you should do them on your own, and quit trying to get someone to DO them.  Good luck!

Answer 2

Let h = number of hours

how many hours so both companies are equal?

companyA = companyB

100 + 30h = 135 + 25h

5h = 35

h = 7

At 7 hours, they'd be equal.

Which is cheaper at 15 hours?

companyA:  100 + 30(15) = 100 + 450 = 550

companyB:  135 + 25(15) = 135 + 375 = 510

Company B is cheaper.

Answer 3

100 + 30t = 135 + 25t

5t = 35

t = 7

7 hours would result in the same cost for both companies

Company A: 100 + 30 * 15 = 550

Company B: 135 + 25 * 15 = 510

she hire Company B