Johnson Simmons
01/19/2023 · Senior High School

Genesis went shopping for holiday presents. She bought boxes of chocolates and boxes of ornaments for her coworkers. Boxes of chocolate cost \( \$ 10 \) each and boxes of ornaments cost \( \$ 6 \) each. She buys a total of 16 boxes and spends \( \$ 120 \). How many boxes of chocolates and how many boxes of ornaments does she buy? Using \( C \) for number of chocolate bcyxes and \( O \) for number of ornament boxes. Setup but do not solve the equations necessary to answer the questions. Your 1st equation: Your 2nd equation:

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Step-by-step Solution

To set up the equations based on the information provided, we can define: - \( C \) = number of boxes of chocolates - \( O \) = number of boxes of ornaments From the problem, we have two key pieces of information: 1. The total number of boxes (chocolates and ornaments) is 16. 2. The total cost of the boxes is $120. Using this information, we can set up the following equations: 1. The first equation represents the total number of boxes: \[ C + O = 16 \] 2. The second equation represents the total cost of the boxes: \[ 10C + 6O = 120 \] These are the two equations needed to solve the problem.

Quick Answer

Your 1st equation: \( C + O = 16 \) Your 2nd equation: \( 10C + 6O = 120 \)
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