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?

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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?

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Answer 1 · 2016-12-13T20:21:54

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

$26$ pints of blue paint are needed.

Explanation:

$65$ 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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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?

1 Answer

Explanation:

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