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
Final Answer: \(\boxed{(\$3.79, \$4.99)}\).
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: \(8p + 5m = 55.27\).
Step 3 ：Set up the second equation from the second mixture: \(6p + 4m = 42.70\).
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: \(\boxed{(\$3.79, \$4.99)}\).
