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# QOTD #1 Trail mix is made by combining 3 pounds of nuts that

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QOTD #1 Trail mix is made by combining 3 pounds of nuts that [#permalink]  27 Jun 2016, 08:36
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Question Stats:

50% (00:37) correct 50% (00:39) wrong based on 16 sessions
Trail mix is made by combining 3 pounds of nuts that cost x dollars per pound with 1 pound of chocolate that costs y dollars per pound and 2 pounds of dried fruit that costs z dollars per pound. What is the cost in dollars per pound for the trail mix?

A) $$\frac{3x+y+2z}{xyz}$$

B) $$3x+y+2z$$

C) $$\frac{3x+y+2z}{6}$$

D) $$6(3x+y+2z)$$

E) $$\frac{x}{3}+ y + \frac{2}{z}$$
[Reveal] Spoiler: OA

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Re: QOTD #1 Trail mix is made by combining 3 pounds of nuts that [#permalink]  09 Feb 2019, 09:21
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Expert's post
Carcass wrote:
Trail mix is made by combining 3 pounds of nuts that cost x dollars per pound with 1 pound of chocolate that costs y dollars per pound and 2 pounds of dried fruit that costs z dollars per pound. What is the cost in dollars per pound for the trail mix?

A) $$\frac{3x+y+2z}{xyz}$$

B) $$3x+y+2z$$

C) $$\frac{3x+y+2z}{6}$$

D) $$6(3x+y+2z)$$

E) $$\frac{x}{3}+ y + \frac{2}{z}$$

3 pounds of nuts that cost x dollars per pound
Cost of 3 pounds of nuts = 3x

1 pound of chocolate that costs y dollars per pound
Cost of 1 pound of chocolate = y

2 pounds of dried fruit that costs z dollars per pound
Cost of 2 pounds of dried fruit = 2z

Total cost = 3x + y + 2z
Total weight = 3 + 1 + 2 = 6

What is the cost in dollars per pound for the trail mix?
Cost per pound = (total cost)/(total weight in pounds)
= (3x + y + 2z)/6

Cheers,
Brent

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Re: QOTD #1 Trail mix is made by combining 3 pounds of nuts that   [#permalink] 09 Feb 2019, 09:21
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