Question

1. an artist mixes \\( \frac{1}{2} \\) liter of red paint with 2 liters of white paint to get a particular shade of pink. how many liters of red paint does the artist need to add in the bucket to make 5 liters of white paint into the mixture? how many liters of red paint does the artist need to add in the bucket to make 5 liters of white paint into the mixture? a \\( 1 \frac{1}{4} \\) liters b 2 liters c \\( 3 \frac{1}{2} \\) liters d 5 liters

Explanation:

Step1: Understand the ratio

The original ratio of red to white paint is $\frac{1}{2}$ liter of red : 2 liters of white. Let the amount of red paint needed for 5 liters of white be $x$. So we set up a proportion: $\frac{\frac{1}{2}}{2}=\frac{x}{5}$.

Step2: Solve the proportion

Cross - multiply: $2x = 5\times\frac{1}{2}$. Then $2x=\frac{5}{2}$. Divide both sides by 2: $x=\frac{5}{2}\div2=\frac{5}{2}\times\frac{1}{2}=\frac{5}{4}=1\frac{1}{4}$ liters.

Answer:

A. $1\frac{1}{4}$ liters