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Nat2105 [25]
3 years ago
15

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 pain

t.the amount of blue paint is 3 times the amount of yellow paint.

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

<em><u>Question:</u></em>

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

<em><u>Answer:</u></em>

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

<em><u>Solution:</u></em>

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

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

<em><u>She used a total of 8 ounces of fabric paint</u></em>

Therefore,

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

<em><u>The amount of blue paint is 3 times the amount of yellow paint</u></em>

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

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

<em><u>Substitute eqn 2 in eqn 1</u></em>

3y + y = 8

4y = 8

Divide both sides by 4

y = 2

<em><u>Substitute y = 2 in eqn 2</u></em>

x = 3(2)

x = 6

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

<em><u>Find the ratio </u></em>

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

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