Mixing Iron and Zinc Homework Question

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A metal alloy is made by mixing iron and zinc. If 36% of the alloy is zinc and the amount of iron in the alloy is 160 g, calculate the total mass of the alloy.

asked Sep 20, 2018 in Homework Help by whizkid (58,680 points)


1 Answer

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Zn = Zinc
Fe = Iron
W = weight of alloy (grams)
wZn = weight zinc (grams)
wFe = weight Fe (grams)

36% (zinc)  = 100 *(wZn/W)
160g Fe = wFe
 
W = wZn + wFe

(1) W = wZn + 160g
(2) 36 = 100(wZn/W)  

2 unknowns and 2 equations. Solve for W, the weight of the allow

Simplify

36W = 100(wZn)
wZn = 36W / 100
W = 36W/100 + 160  
100W = 36W + 16000  
64W = 16000
W = (16000/64) = 250g

Verify:
36% Zn, so 64% Fe
.64 (250) = 160 g Fe
.36 (250) = 90 g Zn
Total = 160 + 90 = 250g
answered Sep 20, 2018 by whizkid (58,680 points)
edited Sep 20, 2018 by whizkid

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