A certain shade of green paint is made of 6 quarts of blue paint for every 5 quarts of yellow paint. If you only have 1 quart of blue paint, how much yellow paint should you use to make the same shade of green paint?

Question

Start by setting up a table that could be used to find the amount of yellow paint you need for every 1 quart of blue paint.
Blue Paint (qt) Yellow Paint (qt)

1

?

6

5
Nice!
You’re trying to find the amount of yellow paint you would need for every 1 quart of blue paint. What do you need to divide 6 quarts of blue paint by to find 1 quart of blue paint?
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Blue Paint (qt) Yellow Paint (qt)
6 5
1 ?

Answer 1

To find out how much yellow paint you need for 1 quart of blue paint, you can set up a proportion based on the original ratio of blue to yellow.

The original ratio is:

• 6 quarts of blue paint to 5 quarts of yellow paint.

To find out how much yellow paint corresponds to 1 quart of blue paint, you can divide both the blue paint and the yellow paint amounts by 6.

Here’s how you set it up:

1. Starting from the ratio:

   • Blue: 6 qt
   • Yellow: 5 qt

2. To find how much yellow paint corresponds to 1 quart of blue paint, divide both parts of the ratio by 6:

• Amount of yellow paint per 1 quart of blue = (5 qt yellow) ÷ (6 qt blue) = 5/6 qt yellow

So, for every 1 quart of blue paint, you would need approximately 0.8333 quarts of yellow paint.

Now, we can fill in the table:

| Blue Paint (qt) | Yellow Paint (qt) | |------------------|--------------------| | 1 | 5/6 | | 6 | 5 |

Thus, if you only have 1 quart of blue paint, you should use approximately 0.83 quarts (or 5/6 quarts) of yellow paint to maintain the same shade of green paint.