Question

Collins is making a 10 pound bag of trail mix for his upcoming backpacking trip of chocolates cost $3.00 per pound and mixed nuts cost $8.00 per pound and Colin has a budget of six per pound of trail mix how many pounds of each should he use

Answer 1

• 6 lb mixed nuts
• 4 lb chocolates

Explanation:

Let m represent the quantity of mixed nuts in the mix. Then 10-m is the quantity of chocolates, and the total cost of the mix is ...

8m +3(10 -m) = 6(10)

5m = 30 . . . . . . . collect terms, subtract 30

m = 6 . . . . . . . divide by 5; pounds of mixed nuts

10-m = 4 . . . pounds of chocolates

Collins should use 4 pounds of chocolates and 6 pounds of mixed nuts in his trail mix.