Directions: Define your variables and set up a system of equations, then solve.
9. 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

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Answer

Final Answer: $($ 3.79, $ 4.99)$ .

Steps

Step 1 ：Define the cost per pound of peanuts as 'p' and the cost per pound of M&M's as 'm'.

Step 2 ：Set up the first equation from the first mixture: $8 p + 5 m = 55.27$ .

Step 3 ：Set up the second equation from the second mixture: $6 p + 4 m = 42.70$ .

Step 4 ：Solve the system of equations to find the values of 'p' and 'm'.

Step 5 ：The solution is {m: 4.99000000000000, p: 3.79000000000000}.

Step 6 ：The cost per pound of peanuts is $3.79 and the cost per pound of M&M's is $4.99.

Step 7 ：Final Answer: $($ 3.79, $ 4.99)$ .