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?

Answer 1

#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#

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Answer 2

Skylar Adams

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.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.