Question

A sporting goods store has added a section with trail foods and snacks. Raisins cost $5.00 per pound and peanuts cost $3.80 per pound. Raisins and peanuts are going to be sold in a mixture of 30 pounds which will cost $4.05 per pound? How many pounds of raisins will be in the mix?

Answer 1

Let r = pounds of raisins.
then 30-r = pounds of peanuts.
Now to work in the costs.
5r + (30-r)3.80 = 30(4.05)
5r+114-3.80r=121.5 solve for r
1.2r=121.5-114
1.2r=7.5
r=6.25 lbs
peanuts =23.75 lbs.

Answer 2

Probably should verify by checking.
6.25($5.00) +23.75($3.80) = 30($4.05)
31.25 +90.25=121.5
121.5=121.5 Answer is correct.