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Linear Pendant

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Linear Pendant
Math Homework : Word Problem! Please Help!!?

The unit of math I am currently working on is linear systems.. Also known as solving for x and y is systems..

This is the question..

Shannon needs 20 g of 80% alloy gold to make a pendant. She has some 85% gold and some 70% gold from broken jewellery and wants to know how much of each alloy to use. Determine how much of each alloy is needed.

This is the answer : approx. 13.33 g of 85%
approx. 6.67 g of 70%

Please show all your steps and how you did it! Thanks :)

let x = amount of 85% gold alloy
let y = amount of 70% gold alloy

x + y = 20
0.85x + 0.70y = 0.80(20) = 16.0

If x+y = 20, then y = 20-x. We can substitute this for y in the 2nd equation and solve for x:
0.85x + 0.70(20-x) = 16
0.85x + 14 – 0.70x = 16
0.15x = 2
x = 2/0.15
x = 13.33 g

y = 20 – 13.33 = 6.67 g

So 13.33g of 80% and 6.67g of 70%

Hope this helps!

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PRODUCT NOT FOR RESALE
This product is only for sale to consumers: all other transactions are strictly prohibited.

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Recycled Varaluz Fascination Linear Pendant – Four Light KoloradoHand-forged steel has 70% or greater recycled content. Low-VOC finish. Recycled glass.Shade – Recycled Amber Bottle Glass

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