Question
Lionel is loading boxes of books into an elevator to move to the 35 th floor of an office building.
There are 10 boxes of books, and Lionel wants to make sure he is not exceeding the maximum
weight of the elevator, which is 2,000 pounds. Lionel weighs 170 pounds. If each box of books
weighs the same amount, how much can each box weigh? Solve this problem and then graph the
solution on a number line. (1 point)
There are 10 boxes of books, and Lionel wants to make sure he is not exceeding the maximum
weight of the elevator, which is 2,000 pounds. Lionel weighs 170 pounds. If each box of books
weighs the same amount, how much can each box weigh? Solve this problem and then graph the
solution on a number line. (1 point)
Ask by Griffiths Murphy. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Each box can weigh up to 183 pounds.
Solution
To determine the maximum weight each box can have without exceeding the elevator’s limit:
- Total Weight Limit: 2,000 pounds
- Lionel’s Weight: 170 pounds
- Number of Boxes: 10
- Let each box weigh:
pounds
Set up the inequality:
Solve for
Conclusion:
Each box can weigh no more than 183 pounds.
Each box can weigh no more than 183 pounds.
Graph on a Number Line:
<----|--------------------------|>
0 183
≤ 183
- The shaded region includes all weights from 0 up to and including 183 pounds.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
To solve this problem, first, we need to determine the total weight allowance for the boxes of books. The elevator’s maximum weight is 2,000 pounds, and Lionel weighs 170 pounds. Therefore, the weight available for the boxes of books is:
2,000 pounds (maximum weight) - 170 pounds (Lionel’s weight) = 1,830 pounds.
Since there are 10 boxes, we can divide the total weight available by the number of boxes to find out how much each box can weigh:
1,830 pounds ÷ 10 boxes = 183 pounds per box.
Each box can weigh a maximum of 183 pounds.
To graph this on a number line, you would mark the point 183 and shade the area to the left (indicating that any weight less than or equal to 183 pounds is acceptable). You can also label the maximum weight as “Maximum Weight per Box”.
