### Box Weight CalculationA delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 70 large boxes and 50 small boxes. If the truck is carrying a total of 5200 pounds in boxes, how much does each type of box weigh?#### Solution:To find the weight of each type of box, you can use a system of equations.1. Let $ L $ be the weight of a large box in pounds.2. Let $ S $ be the weight of a small box in pounds.Given:- The combined weight of a large box and a small box is 80 pounds: $ L + S = 80 $- The truck is carrying a total of 5200 pounds of boxes. With 70 large boxes and 50 small boxes, the equation becomes: $ 70L + 50S = 5200 $Use these equations to solve for $ L $ and $ S $.#### Input Area:- **Large box:** [ ] pounds- **Small box:** [ ] poundsSelect the correct calculation using the ALEKS graphing calculator which can make these computations easier.**Note:** Remember to verify your answers upon calculation.© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility#### Graphical Diagram Explanation:There are no graphical diagrams present in this view. The image is a screenshot of an interactive platform where users input answers to the problem stated above. There are explanation and check buttons below the input areas.

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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transportin 70 large boxes and 50 small boxes. If the truck is carrying a total of 5200 pounds in boxes, how much does each type of box weigh? Note that the ALEKS graphing calculator can be used to make computations easier. Large box: pounds X ? Small box: pounds

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transportin 70 large boxes and 50 small boxes. If the truck is carrying a total of 5200 pounds in boxes, how much does each type of box weigh? Note that the ALEKS graphing calculator can be used to make computations easier. Large box: pounds X ? Small box: pounds

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### Box Weight Calculation

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 70 large boxes and 50 small boxes. If the truck is carrying a total of 5200 pounds in boxes, how much does each type of box weigh?

#### Solution:

To find the weight of each type of box, you can use a system of equations.

1. Let $ L $ be the weight of a large box in pounds.
2. Let $ S $ be the weight of a small box in pounds.

Given:
- The combined weight of a large box and a small box is 80 pounds: $ L + S = 80 $
- The truck is carrying a total of 5200 pounds of boxes. With 70 large boxes and 50 small boxes, the equation becomes: $ 70L + 50S = 5200 $

Use these equations to solve for $ L $ and $ S $.

#### Input Area:

- **Large box:** [ ] pounds
- **Small box:** [ ] pounds

Select the correct calculation using the ALEKS graphing calculator which can make these computations easier.

**Note:** Remember to verify your answers upon calculation.

© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility

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