Hugo is mixing blue paint with red paint to create purple paint. the ratio of blue to red is 3 to 2. how many pints of blue paint will he use to create 40 pints of purple paint?

24 pints of blue paint used  to create 40 pints of purple paint .

Step-by-step explanation:

As given

Hugo is mixing blue paint with red paint to create purple paint.

The ratio of blue to red is 3 to 2.

Let us assume that the x be scalar mutiple .

Thus

Pints of blue paint used = 3x

Pints of red paint used = 2x

As given 40 pints purple paints is made by mixing  blue paint with red paint .

Than the equation becomes

2x + 3x = 40

5x = 40

x = 8

Thus

Pints of blue paint used = 3 × 8

                                        = 24 pints

Therefore 24 pints of blue paint used  to create 40 pints of purple paint .