To determine which two mixtures will produce the same color, we need to compare the ratios of red paint to blue paint for each mixture. Mixtures that have the same ratio of red to blue paint will produce the same color.
Let's calculate the ratio of red to blue paint for each mixture:
1. For Mixture 1:
- Red paint: 2 ounces
- Blue paint: 1 ounce
- Ratio = [tex]\( \frac{2}{1} = 2.0 \)[/tex]
2. For Mixture 2:
- Red paint: 7 ounces
- Blue paint: 3.5 ounces
- Ratio = [tex]\( \frac{7}{3.5} = 2.0 \)[/tex]
3. For Mixture 3:
- Red paint: 4.5 ounces
- Blue paint: 2 ounces
- Ratio = [tex]\( \frac{4.5}{2} = 2.25 \)[/tex]
4. For Mixture 4:
- Red paint: 5.5 ounces
- Blue paint: 2.5 ounces
- Ratio = [tex]\( \frac{5.5}{2.5} = 2.2 \)[/tex]
Now, let's compare the ratios:
- Mixture 1 has a ratio of 2.0
- Mixture 2 has a ratio of 2.0
- Mixture 3 has a ratio of 2.25
- Mixture 4 has a ratio of 2.2
We see that Mixture 1 and Mixture 2 have the same ratio, which means they will produce the same color.
Therefore, the answer is:
(A) mixtures 1 and 2
