Trail mix is made by combining 3 pounds of nuts that cost x dollars pe

Question

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. \(\frac{3x+y+2x}{xyz}\)

B. \(3x+y+2z\)

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

D. \(6(3x+y+2z)\)

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

A.  \frac{3x+y+2x}{xyz}

B.  3x+y+2z

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

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

E.  \frac{x}{3} + y + \frac{2}{z}

Kinshook · Answer

Given: 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. 
Asked: What is the cost in dollars per pound for the trail mix?

Trail mix cost for 6 (3+1+2) pounds = 3x +y+ 2z
Trail mix cost / pound =  \frac{(3x+y+2z)}{6}

IMO C

EgmatQuantExpert · Answer

Solution 
  Given:  
•  Trail mix is made by combining,
 o 3 pounds of nuts that cost x dollars per pound
o 1 pound of chocolate that costs y dollars per pound, and 
o 2 pounds of dried fruit that costs z dollars per pound  
 
  To find:  
 • The cost in dollars per pound for the trail mix

Approach and Working Out:   
 • Total quantity of mix = 3 + 1 + 2 = 6 pounds
• Cost = 3x + y + 2z

Therefore, cost per pound =  \frac{(3x + y + 2z)}{6}

Hence the correct answer is Option C

Answer: C

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-WP-e1533292133520.png

BrentGMATPrepNow · Answer

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

Answer: C

Cheers,
Brent

JeffTargetTestPrep · Answer

Since the unit cost of the mix is the weighted arithmetic average of the unit costs of its components, we have:

(3x + 1y + 2z)/(3 + 1 + 2) =

(3x + y + 2z)/6

Answer: C

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Trail mix is made by combining 3 pounds of nuts that cost x dollars pe

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