Question

Several paint mixtures are made by mixing blue paint and white paint.

Paint Colors

Blue Paint
White Paint
Mixture A
5 cups
12 cups
Mixture B
6 cups
6 cups
Mixture C
4 cups
12 cups
Mixture D
5 cups
6 cups

Which mixture has the lowest ratio of blue paint to white paint?
mixture A
mixture B
mixture C
mixture D

Answer 1

To find the mixture with the lowest ratio of blue paint to white paint, we need to calculate the ratio of blue paint to white paint for each mixture.

**Mixture A:**
Blue Paint = 5 cups
White Paint = 12 cups
Ratio = 5:12

**Mixture B:**
Blue Paint = 6 cups
White Paint = 6 cups
Ratio = 6:6 = 1:1

**Mixture C:**
Blue Paint = 4 cups
White Paint = 12 cups
Ratio = 4:12 = 1:3

**Mixture D:**
Blue Paint = 5 cups
White Paint = 6 cups
Ratio = 5:6

Now we can compare the ratios:

- Mixture A: 5:12
- Mixture B: 1:1
- Mixture C: 1:3
- Mixture D: 5:6

To assess the values more easily, we can convert these ratios into decimal form or fractions:

1. Mixture A: \( \frac{5}{12} \) = 0.4167
2. Mixture B: \( \frac{1}{1} \) = 1
3. Mixture C: \( \frac{1}{3} \) = 0.3333
4. Mixture D: \( \frac{5}{6} \) = 0.8333

Now we can compare these values. The lowest value corresponds to the ratio with the lowest blue paint to white paint.

- Mixture A: 0.4167
- Mixture B: 1
- Mixture C: 0.3333
- Mixture D: 0.8333

The mixture with the lowest ratio of blue paint to white paint is **Mixture C** (1:3).