Question

25 Points !! Help AsAP

A 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

Answer 1

8.39 lbs. of peanuts and 8.39 lbs. of raisins should be used.

Answer 2

8 lb peanuts

9 lb raisins

Explanation:

Answer:

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

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.