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 poundCost of 3 pounds of nuts =
3x 1 pound of chocolate that costs y dollars per poundCost of 1 pound of chocolate =
y2 pounds of dried fruit that costs z dollars per poundCost of 2 pounds of dried fruit =
2zTotal cost = 3x +
y +
2zTotal weight = 3 + 1 + 2 = 6What is the cost in dollars per pound for the trail mix?Cost per pound = (total cost)/(total weight in pounds)= (
3x +
y +
2z)/
6Answer: C
Cheers,
Brent