College

We appreciate your visit to A delivery truck is transporting boxes of two sizes large and small The large boxes weigh 45 pounds each and the small boxes weigh 20. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 45 pounds each, and the small boxes weigh 20 pounds each. There are 135 boxes in all. If the truck is carrying a total of 4450 pounds in boxes, how many of each type of box is it carrying?

A delivery truck is transporting boxes of two sizes large and small The large boxes weigh 45 pounds each and the small boxes weigh 20

Answer :

Final answer:

To find the number of each type of box, we can use a system of equations. Solving the system, we find that the truck is carrying 70 large boxes and 65 small boxes.

Explanation:

To solve this problem, we can use a system of equations. Let's represent the number of large boxes as 'L' and the number of small boxes as 'S'. We know that the weight of each large box is 45 pounds and the weight of each small box is 20 pounds. We also know that there are 135 boxes in total and the total weight of all the boxes is 4450 pounds.

From the given information, we can set up the following equations:

L + S = 135 (equation 1)

45L + 20S = 4450 (equation 2)

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From equation 1, we can solve for L: L = 135 - S

Substitute this value of L into equation 2:

45(135 - S) + 20S = 4450

Expand and simplify the equation:

6075 - 45S + 20S = 4450

Combine like terms:

-25S = -1625

Divide both sides by -25:

S = 65

Substitute this value of S into equation 1 to solve for L:

L + 65 = 135

L = 70

Therefore, the truck is carrying 70 large boxes and 65 small boxes.

Thanks for taking the time to read A delivery truck is transporting boxes of two sizes large and small The large boxes weigh 45 pounds each and the small boxes weigh 20. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada