Problema Solution
the price per pound of cashews is $2.45, and the price per pound of walnuts is $3.20. How many pounds of each type are needed for 30 pounds of a mixture that has a price of $2.97 per pound?
Answer provided by our tutors
Let weight of cashews = x
Weight of walnuts = 30 - x
Total price of the mixture = 30 * 2.97 = 89.1
Total price of individual = x*2.45 + 3.2*(30-x)
the two prices should be same
=> 89.1 = 2.45x + 96 - 3.2x
=> 3.2x-2.45x = 96 - 89.1
=> 0.75x = 6.9
=> x = 6.9/.75
=> x = 9.2 pounds
=> cashwes = x = 9.2 pounds
=> walnuts = 30 - x = 20.8 pounds