Question

In art class students are mixing blue and red paint to make purple paint. Justin mixes 7 cups of blue paint and 6 cups of red paint. Latanya mixes 4 cups of blue paint and 3 cups of red paint. Whose purple paint will be bluer?

Answer 1

Explanation:

For Justin, the ratio is 7 cups of blue paint to 6 cups of red paint. For Latanya, the ratio is 4 cups of blue paint to 3 cups of red paint.

To compare the blueness of their purple paint, we must simplify these ratios. Justin's ratio simplifies to 7/6, while Latanya's ratio simplifies to 4/3. Now, let's convert these fractions to decimals for easier comparison:

Justin: 7 ÷ 6 ≈ 1.167

Latanya: 4 ÷ 3 ≈ 1.333

As you can see, Latanya's ratio (1.333) is greater than Justin's (1.167), which means her purple paint will be bluer.

Answer 2

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Explanation:

To determine whose purple paint will be bluer, we need to compare the ratios of blue to red in their mixes.

Justin's ratio of blue to red is 7:6 or 7/6.

Latanya's ratio of blue to red is 4:3 or 4/3.

To compare which ratio has more blue, we can simplify each ratio so that they have the same denominator:

- Justin's ratio: 7/6

- Latanya's ratio: 4/3 = 8/6

Now we can see that Justin's mix has a slightly higher ratio of blue to red than Latanya's mix. Therefore, Justin's purple paint will be bluer.