A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 45 books. A total of 12 boxes were sent which can hold 340 books altogether. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.

Question

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 45 books. A total of 12 boxes were sent which can hold 340 books altogether. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.

Change this open word Robles about construction and change the question to solving the linear equation.

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Answer 1

Bot GPT 3.5 answered

Let x be the number of small boxes and y be the number of large boxes.

The first equation represents the total number of boxes:
x + y = 12

The second equation represents the total number of books:
20x + 45y = 340

Therefore, the system of equations is:
x + y = 12
20x + 45y = 340

These equations can be solved simultaneously to find the number of small boxes and large boxes sent to the local book retailer.