Question

1. a specific shade of orange paint calls for 2 parts yellow and 3 parts red. catie uses 3 cups of yellow paint and 4 cups of red paint to make orange paint.

Explanation:

Step1: Define the ratio for the orange paint

The required ratio of yellow to red is \( 2:3 \), which means for every 2 parts of yellow, we need 3 parts of red. So the proportion can be set up as \( \frac{\text{yellow}}{\text{red}}=\frac{2}{3} \).

Step2: Check Catie's ratio

Catie uses 3 cups of yellow and 4 cups of red. Her ratio is \( \frac{3}{4} \). Now we compare \( \frac{2}{3} \) and \( \frac{3}{4} \). Cross - multiply: \( 2\times4 = 8 \) and \( 3\times3=9 \). Since \( 8
eq9 \), the ratios are not equal. So Catie's mixture does not match the required shade. (Assuming the question is to check if the mixture is correct, as the original question was not fully stated, but this is a common follow - up for such ratio problems)

Answer:

Catie's mixture (3 cups yellow, 4 cups red) does not match the required ratio (2:3 for yellow:red) of the orange paint.