Question

You mix 25 cup of red paint for every 14 cup of blue paint to make 158 gallons of purple paint. Question 1 a. How much red paint and blue paint do you use? cups of red paint and cups of blue paint are used. Question 2 b. You decide that you want to make a lighter purple paint. You make the new mixture by adding 110 cup of white paint for every 25 cup of red paint and 14 cup of blue paint. How much red paint, blue paint, and white paint do you use to make 38 gallon of lighter purple paint? cups or red paint, cups of blue paint, and cup of white paint are used.

Answer 1

Answer: a) Amount of red and blue paint is 101 gallons and 57 gallons respectively.

b) Amount of red , blue and white paint is 6 gallons, 4 gallons and 28 gallons respectively.

Step-by-step explanation:

Since we have given that

Number of cups of red paint is used to make purple paint = 25

Number of cups of blue paint is used to make purple paint = 14

Total gallons of purple paint = 158 gallons

Ratio of red paint to blue paint is given by

$25:14$

Amount of red paint is used is given by

$\frac{25}{39}\times 158\\\\=101.28\ gallons\\\\=101\ gallons$

Amount of blue paint is used is given by

$\frac{14}{39}\times 158\\\\=56.71\ gallons\\\\=57\ gallons$

b) Number of cups of white paint = 110

Ratio of red paint to blue paint to white paint is given by

$25:14:110$

Amount of red paint is given by

$\frac{25}{149}\times 38\\\\=6.37\ gallons\\\\=6\ gallons$

Amount of blue paint is given by

$\frac{14}{149}\times 38\\\\=3.57\ gallons\\\\=4\ gallons$

Amount of white paint is given by

$\frac{110}{149}\times 38\\\\=28.05\ gallons\\\\=28\ gallons$

Hence, a) Amount of red and blue paint is 101 gallons and 57 gallons respectively.

b) Amount of red , blue and white paint is 6 gallons, 4 gallons and 28 gallons respectively.