Question

solve & discuss it!
santiago used all of the paint shown below to make a certain tint of orange paint. how many pints of red paint should be mixed with 24 pints of yellow paint to make the same tint of orange?

Explanation:

Step1: Determine the ratio of red to yellow paint from the given cans.

From the image, we can see that there are 3 yellow paint cans (each 1 pint) and 4 red paint cans (each 1 pint). So the ratio of red paint to yellow paint is \( \frac{4}{3} \).

Step2: Set up a proportion to find the amount of red paint needed for 24 pints of yellow paint.

Let \( x \) be the number of pints of red paint needed. The proportion is \( \frac{4}{3}=\frac{x}{24} \).

Step3: Solve the proportion for \( x \).

Cross - multiply: \( 3x = 4\times24 \).
Calculate \( 4\times24 = 96 \), so \( 3x=96 \).
Divide both sides by 3: \( x=\frac{96}{3}=32 \).

Answer:

32