Question

HELP, THIS IS DUE TOMORROW!!!

A mixture of purple paint contains 3 teaspoons of red paint and 9 teaspoons of blue paint. To make the same shade of purple using 15 teaspoons of blue paint, how much red paint would you need? Use the double number line diagram if needed.

Answer 1

The teaspoons of red paint needed to mix with 15 teaspoons of blue paint is 5 teaspoons.

How much red paint would you need?

Mixture A:

Red paint = 3 teaspoons

Blue paint = 9 teaspoons

Mixture B:

Red paint = x teaspoons

Blue paint = 15 teaspoons

Set the proportion

3 : 9 = x : 15

3/9 = x/15

cross product

3 × 15 = 9 × x

45 = 9x

Divide both sides by 9

x = 45/9

x = 5

Therefore, 5 teaspoons of red paint is needed to mix with 15 teaspoons of blue paint to make a purple paint.