Kelly's company is painting a building a unique shade of purple. She needs 12 pints of red paint for every 8 pints of blue paint. Using that ratio, if she uses 65 pints of paint how much blue paint is needed?

Question

Everly Taylor · Accepted Answer

#65 * (8 / [12 + 8]) = 26#

#26# pints of blue paint are needed.

#65# is the total amount of paint used. The ratio of blue to red is #8:12#. The ratio can be simplified to #2# pints of blue for every #3# pints of red. So #2/5# pints are blue, #3/5# pints are red. Multiply the fraction of pints of blue by the total number of pints. #65 * (2/5) = 26# #26# being the number of pints of blue paint. For red paint, you would do #65 * (3/5) = 39# To check if we are correct, #26 + 39 = 65# #26:39 -> 26/13 : 39/13 -> 2:3#

Skylar Adams · Answer

undefined To find out how much blue paint is needed using the given ratio of 12 pints of red paint for every 8 pints of blue paint, we can set up a proportion:

12 pints of red paint / 8 pints of blue paint = 65 pints of total paint / x pints of blue paint

Cross multiplying:

12 * x = 8 * 65

Solving for x:

12x = 520

x = 520 / 12

x ≈ 43.33 pints

So, approximately 43.33 pints of blue paint are needed.