A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 40 pounds and each large box of paper weighs 70 pounds. A total of 20 boxes of paper were shipped weighing 1220 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Question

Mathematics

Ezra Bright

14 December, 14:12

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 40 pounds and each large box of paper weighs 70 pounds. A total of 20 boxes of paper were shipped weighing 1220 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

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Answers (1)

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Samuel Riley · Answer 1

Answer: The system of equations required is

x + y = 20

40x + 70y = 1220

Step-by-step explanation:

Let x represent the number of small boxes of paper shipped and

Let y represent the number of large boxes of paper shipped.

A total of 20 boxes of paper were shipped. This is expressed as

x + y = 20

Each small box of paper weighs 40 pounds and each large box of paper weighs 70 pounds. The total weight of the large and small boxes of paper that were shipped is 1220 pounds altogether. This is expressed as

40x + 70y = 1220