Jaime mixes purple paint. She uses three pints of blue paint for every four
pints of red paint. Jaime wants to mix more paint exactly the same color. She
has 14 pints of red paint. How much blue paint does she need?
Let n = pints of blue paint needed
Use ratio and proportion.
3 blue : 4 red = n : 14 red
Rewriting,
3/4 = n/14
n = (3/4) * 14
n = 42/4
n = 21/2 pints of blue paint
To find out how much blue paint Jaime needs, we need to use the given ratio of blue paint to red paint.
The ratio given is 3 pints of blue paint for every 4 pints of red paint.
Since Jaime has 14 pints of red paint, we can set up a proportion to solve for the amount of blue paint needed.
Let's say x represents the amount of blue paint needed.
The proportion would be: 3/4 = x/14
To solve for x, we can cross-multiply and then divide:
3 * 14 = 4 * x
42 = 4x
Dividing both sides by 4:
x = 42/4
x = 10.5
Therefore, Jaime needs 10.5 pints of blue paint to mix with her 14 pints of red paint in order to maintain the same color.