In art class students are mixing blue and red paint to make purple paint. Josue mixes 1 cup of blue paint and 2 cups of red paint. Ashley mixes 2 cups of blue paint and 3 cups of red paint. Use Josue and Ashley’s proportions of blue paint to determine whose purple paint will be bluer.

Answer 1

To determine whose purple paint will be bluer, we need to compare the proportion of blue paint in each of their mixtures.

Josue's mixture has a ratio of 1:2 blue paint to red paint, which simplifies to 1:2.

Ashley's mixture has a ratio of 2:3 blue paint to red paint, which simplifies to 2:3.

To compare these ratios, we can find a common denominator:

Josue: 1:2 = 3:6

Ashley: 2:3 = 4:6

Since Ashley's mixture has a higher proportion of blue paint (4:6) compared to Josue's mixture (3:6), Ashley's purple paint will be bluer.