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zalisa [80]
3 years ago
13

One half Of a number added to two thirds Of The number Is 21 . Find The number.

Mathematics
2 answers:
creativ13 [48]3 years ago
7 0


18. 1/2 of 18 is 9. 1/3 is 6. 6+6+9 = 21


elena-s [515]3 years ago
4 0
The number would be 18.
Half of 18 = 9
Two thirds of 18 = 12
9 + 12 = 21
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<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

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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}

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The diagram is attached below

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