To solve this problem, we need to find the weight of each box by dividing the total weight of the boxes by the number of boxes.
Let x be the weight of each box.
We know that Lionel weighs 170 pounds, and there are 10 boxes, so the total weight of the boxes and Lionel is 170 + 10x.
We also know that the maximum weight of the elevator is 2000 pounds.
Therefore, we can write the equation: 170 + 10x ≤ 2000
Now, we can solve for x:
170 + 10x ≤ 2000
10x ≤ 2000 - 170
10x ≤ 1830
x ≤ 1830/10
x ≤ 183
So, each box can weigh at most 183 pounds.
To graph this on a number line, you can draw a number line with the weights of the boxes marked. Then, draw a circle on 183 and shade to the left of that point to represent the weights that are less than or equal to 183 pounds.
Here's a rough representation of the number line:
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| 0 - 50 - 100 - 150 - 183 ●---------------------
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Lionel is loading boxes of books into an elevator to move to the 35th 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)
1 answer