Question

A store sells a mixture of raisins and peanuts. Raisins cost $2.50 per kilogram and nuts cost $3.75 per kilogram. How many of each should be mixed to make 15 kilograms of this snack worth $3.00 per kilogram?

Answer 1

6 kg nuts and 9kg of raisins

Explanation:

We know that the price must be (2.5x + 3.75y)/15 = 3.00 and x+y = 15. To solve this system of equations, we can say that x = 15-y. We plug this back into the equation to get

( 2.5(15-y) + 3.75y) ) / 15 = 3.00

y = 6

to find x

x = 15 - 6 = 9

6 kg nuts and 9kg of raisins