I have a math word problem and I am not very good at them. please help!!!!

Question

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 45 pounds and each large box of paper weighs 75 pounds. A total of 24 boxes of paper were shipped weighing 1410 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.

Answer 1

Let X equal the number of small boxes

Let Y equal the number of big boxes

The first equation is: X + Y = 24 ( this shows that the total number of boxes = 24)

The second equation is: 45X + 75Y = 1410 ( this is because the small box weighs 24 pounds and big box weighs 75 pounds. The total weight of the small boxes is 45 times the weight of each individual box. And the total weight of the second boxes is equal to 75Y.

When you solve the system, X = 13 and Y = 11. If you need more help feel free to reach out to me for a tutoring session!