Store charges $2 for raisins, $5 for granola, and $3 for peanuts. You buy 60lbs for $180. If you bought 10 more raisins than peanuts, how many of each item did you buy?

Answer 1

Let R = lbs of raisins

G = lbs of granola

P = lbs of peanuts

Therefore, R + G + P = 60

and 2R + 5G + 3P = 180

and R = P + 10

Substituting

2P + G = 50

5P + 5G = 160

Solving, we have

P = 18, R = 28, & G = 14