SOLUTION: Chocolate costing $10 per pound is mixed with nuts costing $4 per pound to make a mixture costing $6 per pound. What fraction of the mixture's weight is chocolate? Express your ans

Question 1117739: Chocolate costing $10 per pound is mixed with nuts costing $4 per pound to make a mixture costing $6 per pound. What fraction of the mixture's weight is chocolate? Express your answer as a common fraction.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Asking for the fraction of the weight of the mixture that is chocolate makes it easy to solve the problem without algebra.

The cost per pound of the mixture ($6) is 1/3 of the way from the cost per pound of the nuts ($4) to the cost per pound of the chocolate ($10); that means 1/3 of the mixture is chocolate.

Because no weights are given in the statement of the problem, a solution using algebra is a bit awkward....

Let the mixture be x pounds of chocolate and y pounds of nuts; then the number we are looking for is the weight of the chocolate divided by the total weight: x/(x+y).

The x pounds of chocolate at $10 per pound and the y pounds of nuts at $4 per pound make (x+y) pounds of a mixture at $6 per pound:

And the fraction of the mixture that is chocolate is

RELATED QUESTIONS
Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to... (answered by jorel1380)

How much tea costing $8 per pound should be mixed with three pounds of tea costing $5 per (answered by ankor@dixie-net.com)

How much coffee costing $6.00 per pound should be mixed with 3 pounds of coffee costing... (answered by tommyt3rd)

Making snacks with candy and cereal,how many pounds of candy at $6 per pound would be... (answered by josmiceli)

Teas costing $7 per pound are to be mixed with teas costing $4 per pound to make a... (answered by nerdybill)

Cashews costing $5.50 per pound are mixed with pecans costing $3.00 per pound. How many... (answered by jim_thompson5910)

how many pounds of cashews costing $8.00 per pound must be mixed with peanuts costing... (answered by ikleyn)

I am very confused. My question is, How many pounds of nuts costing $2.50 per pound... (answered by josmiceli)

How many pounds of chocolates costing $4.60 per pound may be mixed with 6 lb of... (answered by CharStar)