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.

Name: Solved: 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. - MathMaster
Brand: MathMaster
Rating: 4.9 (108 reviews)

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

127 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 size of an angle in a congruent triangle, if it is 60 degrees in one triangle?

Question: What is the x-value of the local maximum and local minimum for the cubic function f(x) = x^3?

Math Question: Find the absolute extrema of the function f(x) = x^3 - 3x^2 - 9x over the interval [-5, 5].

New questions in Mathematics

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that

1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method

9b^2-6b-5

A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?

The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?

how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE