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A house painting company charges $376 plus $12 per hour. Another company $280 plus $15 per hour. A. how long is a job for which both companies will charge the same amount? B.What will the cost be?

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iamweird
for company a ( $376 + $12 an hr) it would take 2 hours because 376+12= 388+12= 400 (376 + (12 x 2) )

for company b, ( $280 + $15 ) it would take 9 hours because 280 + 15 = 295 + 15 =
310 + 15 = 325 + 15 = 340 + 15 = 355 + 15 = 370 + 15 = 385 + 15 = 400 (280 + (15 x 8))



376 x (12 x 2)
376 x 24 = 400

280 x (15 x 8)
280 x 120 = 400



1) a = 2 hrs
b = 8 hrs

2) $400

Both companies will charge the same amount in 32 hours

From the information given, the equation to solve the question will be:

376 + (12 × h) = 280 + 15(h)

376 + 12h = 280 + 15h

Collect like terms

15h - 12h = 376 - 280

3h = 96

Divide both side by 3.

3h/3 = 96/3

h = 32

The amount charged will be:

376 + 12h = 376+12(32)

= 376 + 384

= 760

The amount charged will be $760

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