How would this series be written in sigma notation?2 - 3 + 4 -5 +... - (2n+1)?
1 answer:
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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
<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
Which means, of every 4 parts of paint, three parts are blue and one part is yellow
The diagram is attached below
