(.I)) 10. A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost \( \$ 8.50 \), and each key chain cost \( \$ 2.75 \). If the manager spent a total of \( \$ 132.50 \), how many coffee mugs did the manager purchase?
Solve for x and y: \(x=10\), \(y=11\)
Step 1 :Let x be the number of coffee mugs and y be the number of key chains.
Step 2 :Write the system of equations: \( \begin{cases} x+y=21 \\ 8.50x+2.75y=132.50 \end{cases} \)
Step 3 :Solve for x and y: \(x=10\), \(y=11\)