Question

A storeowner mixed 8 pounds of peanuts and 5 pounds of M&M's. This 13 pound mixture sold for $55.27. A second mixture included 6 pounds of peanuts and 4 pounds of M&M's. This 10 pound mixture sold for $42.70. Find the cost per pound of the peanuts and M&M's.

Answer 1

Suppose a pound of peanuts is priced at X, M&M is Y, and the equation is 6X+4Y=42.70 8X+5Y=55.27.   [8X+5Y=55.27]*4-[6X+4Y=42.70]*5   is  [32X+20Y=221.08] - [30X+20Y=213.5]  X=3.79 Y=4.99