Problem

Marissa went shopping for holiday presents. She bought boxes of chocolates and boxes of ornaments for her coworkers. Boxes of chocolate cost $\$ 12$ each and boxes of ornaments cost $\$ 11$ each. She buys a total of 14 boxes and spends $\$ 163$. How many boxes of chocolates and how many boxes of ornaments does she buy? Use $C$ for number of chocolate boxes and $O$ for number of ornament boxes.

Answer

Expert–verified
Hide Steps
Answer

Final Answer: Marissa bought \(\boxed{9}\) boxes of chocolates and \(\boxed{5}\) boxes of ornaments.

Steps

Step 1 :Translate the problem into two equations based on the given information: \(C + O = 14\) and \(12C + 11O = 163\).

Step 2 :Solve this system of equations to find the values of \(C\) and \(O\).

Step 3 :The solution is \(C = 9\) and \(O = 5\).

Step 4 :Final Answer: Marissa bought \(\boxed{9}\) boxes of chocolates and \(\boxed{5}\) boxes of ornaments.

link_gpt