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?

Question

anonymous · Answer

Answer: 23.75 lbs. 

Let p = lbs of peanuts in mixture
      r = lbs of raisins in mixture

Solve the following system: 
p    +   r       =  30
5p   +  3.8r  =  121.5   (4.05 x 30)

p = 6.25
r = 23.75