Question

Jenny is making tie-dyed shirts for her class with her school colors,blue and yellow.she used a total of 8 ounces of fabric paint.the amount of blue paint is 3 times the amount of yellow paint.

Answer 1

Question:

Jenny is making tie-dyed shirts for her class with her school colors, blue and yellow.  She used a total of 8 ounces of fabric paint. The amount of blue paint is 3 times the  amount of yellow paint.  Make a diagram to show the ratio of blue paint to yellow paint

Answer:

The ratio of blue paint to yellow paint is 3 : 1

Solution:

Let  "x" be the amount of blue paint in ounces

Let "y" be  the amount of yellow paint in ounces

She used a total of 8 ounces of fabric paint

Therefore,

x + y = 8 -------- eqn 1

The amount of blue paint is 3 times the amount of yellow paint

Amount of blue paint = 3 times the amount of yellow paint

x = 3y ------- eqn 2

Substitute eqn 2 in eqn 1

3y + y = 8

4y = 8

Divide both sides by 4

y = 2

Substitute y = 2 in eqn 2

x = 3(2)

x = 6

Therefore , the amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces

Find the ratio

To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint

$\frac{x}{y} = \frac{6}{2} = \frac{3}{1}$

Which means, of every 4 parts of paint, three parts are blue and one part is yellow

The diagram is attached below