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
likes541 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.
Hermann
4.6128 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)
Math question: What is the y-value when graphing the exponential function y = 2^x where x = 3?
+
What is the length of the altitude of an equilateral triangle with side length 6?
+
Math question: What is the 5th derivative of f(x) = 2x^3 - 4x^2 + 6x - 8?
+
New questions in Mathematics