Question

The two tables give the number of pints of red and blue paint that are used to make different amounts of two shades of purple paint.

Purple #1 is made by mixing red and blue in a ratio of 1 : 2.
Purple #2 is made by mixing red and blue in a ratio of 1 : 3.

Use the drop-down menus to complete each sentence below.

Answer 1

The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.

This means that Purple #1 is a redder shade of purple than Purple #2.

Purple #2 is a bluer shade of purple than Purple #1.

Explanation:

The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.

Making blue's quantity as 3 parts for purple #1 implies red part becomes 1.5 to maintain the ratio 1:2

Purple #1 has 1/3 parts red and 2/3 parts blue. Purple #2 has 1/4th part red and 3/4th part blue.

Hence, Purple #1 is a redder shade of purple than Purple #2.

From the above explanation, Purple #2 is a bluer shade of purple than Purple #1.

Sure hopes this helps you :)

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