Question

You ran out of paint and primer while changing the color tone in your new house. You had already purchased 4 gallons of paint and 9 gallons of primer for a total cost of $275. Back to the paint shop, added 3 more gallons of paint and 5 gallons of primer for $180. Find the cost per gallon for the paint and the pine.

108

likes

541 views

Answer to a math question You ran out of paint and primer while changing the color tone in your new house. You had already purchased 4 gallons of paint and 9 gallons of primer for a total cost of $275. Back to the paint shop, added 3 more gallons of paint and 5 gallons of primer for $180. Find the cost per gallon for the paint and the pine.

$Expert avatar$

Hermann

4.6

128 Answers

let cost of paint be x and cost of primer be y 4x + 9y = 275 3x + 5y = 180 muliply the 1st equation with -3 and the 2nd equation by 4 -12x - 27y = -825 12x + 20y = 720 add both equations -7y = -105 y = 15 substitute to equation 1 4x + 9*15 = 275 4x = 275 - 135 4x = 140 x = 35 therefore cost per gallon of paint is 35 while cost per gallon of primer is 15.

Frequently asked questions (FAQs)

What is the fourth derivative of f(x) = sin(x^3) at x = π/2?

What is the value of 9 raised to the power of 3, then subtracting the square root of 256?

What is the solution to the inequality 2x + 3 > 5x - 2?

New questions in Mathematics

A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.

10.Silvana must knit a blanket in 9 days. Knitting 8 hours a day, at the end of the fifth day, only 2/5 of the blanket was done. To be able to finish on time, how many hours will Silvana have to knit per day?

30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m

Reparameterize the curve r(t)= cos(t)i without (t)j (t)k by the arc length.

The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?

I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?

Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?