This is similar to Problem 12 from your Section 3.2 worksheet.

Michelle is picking up sandwich ingredients at the grocery store. She goes to the deli counter and finds roast beef for $$13.00$ per pound and cheddar cheese for $$10.25$ per pound. She buys some of each and walks away with $7.5$ pounds of meat and cheese costing a total of $$86.50$. How many pounds of each ingredient did Michelle buy?

Michelle bought pounds of roast beef and pounds of cheddar cheese.

Hint: