Question

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A house painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount. How long will the job be when both companies charge the same amount? How much will they charge?


Question 1: Write an equation.


Question 2: How long will the job be when both companies will cost the same amount?


Question 3: How much will they charge?

Answer 1

Below

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Explanation:

1. Equation representing when both companies will cost the same amount :

`350 + 15x = 275 + 20x`

2. Let x equal the number of hours a job takes , then the first house painting company will charge 350+15x , the second house painting will charge 275 +20x. If the two companies charge the same amount , we will have;

`350 +15x = 275+20x\\\\350 - 275 = 20x - 15x\\\\75 = 5x\\\\(75)/(5) = (5x)/(5) \\\\15 = x\\\\x = 15\:hours`

3. For a job that takes 15 hours , the first company will cost ;

`350 + 15(15) = 575`

For a job that takes 15 hours , the second company will cost ;

`275+20x\\\\275+20(15)\\\\275 +300\\\\=575`