Question

Remember, the school colors at Riverview Middle School are a shade of bluish-green and white. The art teacher, Mr. Raith, needs to mix different quantities of the green paint for several school projects. It takes 3 parts blue paint to 2 parts yellow paint to create the bluish-green color. Carla needs 5 total pints of the bluish-green paint, so she used 3 pints of blue paint and 2 pints of yellow paint. Mr. Raith thought that the art students needed a table to help determine the correct amount of each color of paint for different projects-both large and small. 1. Complete the table with the correct amounts. Explain your reasoning. Amount of Bluish Green Paint Needed Yellow Paint Blue Paint 5 pints 15 pints 2 pints 3 pints 8 pints 12 pints 18 pints 1.5 pints​

Answer 1

Answer: The completed table should look like this:

Amount of Bluish Green Paint Needed | Yellow Paint | Blue Paint

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5 pints | 1 pint | 1.5 pints

Explanation:

To determine the correct amounts of yellow and blue paint needed to create the bluish-green color, we can use the given ratio of 3 parts blue paint to 2 parts yellow paint.

For example, if Carla needs 5 pints of bluish-green paint, we can calculate the amounts of yellow and blue paint needed as follows:

Yellow Paint:

Since the ratio is 3 parts blue to 2 parts yellow, we can divide 5 pints by the total number of parts in the ratio (3 + 2 = 5). This will give us the proportion of yellow paint needed.

5 pints / 5 = 1 pint

So, Carla needs 1 pint of yellow paint.

Blue Paint:

Similarly, we can calculate the amount of blue paint needed by multiplying the proportion of yellow paint (1 pint) by the ratio of blue to yellow (3 parts blue to 2 parts yellow).

1 pint * (3 parts blue / 2 parts yellow) = 1.5 pints

Therefore, Carla needs 1.5 pints of blue paint.

To summarize, if Carla needs 5 pints of bluish-green paint, she should use 1 pint of yellow paint and 1.5 pints of blue paint.

The completed table should look like this:

Amount of Bluish Green Paint Needed | Yellow Paint | Blue Paint

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5 pints | 1 pint | 1.5 pints

By using this ratio and applying the same process, you can calculate the amounts of yellow and blue paint needed for other quantities of bluish-green paint.