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.

Question

Kellen Solomon

Mathematics

18 October, 02:53

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.

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Grace Robinson · 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