25 points asapa store is mixing peanuts, which cost $3.20 per pound, and raisins, which cost $2.10 per pound. how many pounds of peanuts and raisins should be used to make a mix that costs $44.50 and weighs 17 pound

8 lb peanuts

9 lb raisins

Step-by-step explanation:

The store mixes 8 pounds of peanuts and 9 pounds of raisins.

Step-by-step explanation:

Let the store mixes 'x' pounds of peanuts and 'y' pounds of raisins.

The cost of peanut per pound is $3.20 and cost of raisins per pound $2.10

According to question,

Total weight of mixture given is 17 pounds.

        (1)

also total cost of mixture given is $44.50

      (2)

Solving for equation (1) and (2),

Multiply equation (1) by 3.20 , we get

(1)⇒     (3)

Now, subtract equation (3) from equation (2) , we get

Thus, The store mixes 9 pounds of raisins.

Put, y = 9 in (1),

Thus, The store mixes 8 pounds of peanuts.