Problem
For exercises 4 and 5, you must identify the variable(s), write the equation(s), and solve algebraically. Be sure to include units with your answers. (4) Jamila runs a grocery store that sells bulk coffee bean blends by the pound. She wishes to mix 40 pounds of coffee to sell for a total cost of $\$ 222$. To obtain the mixture, she will mix coffee that sells for $\$ 5.10$ per pound with coffee that sells for $\$ 6.30$ per pound. How many pounds of each coffee should she use?
Solution
Step 1 ：Let the number of pounds of the $5.10$ coffee be x and the number of pounds of the $6.30$ coffee be y.
Step 2 ：Write the equations: \(x + y = 40\) and \(5.10x + 6.30y = 222\).
Step 3 ：Solve the system of equations.
Step 4 ：\(x = 25\) and \(y = 15\).
Step 5 ：\(\boxed{\text{Jamila should use 25 pounds of the $5.10$ coffee and 15 pounds of the $6.30$ coffee to create the 40-pound blend that costs $222}.}\)
