To find out how much each box weighs, we need to subtract Lionel's weight from the total weight limit of the elevator.
Total weight limit of the elevator = 2,000 pounds
Lionel's weight = 170 pounds
Weight available for the boxes = 2,000 pounds - 170 pounds = 1,830 pounds
Since there are 10 boxes, the weight of each box can be found by dividing the weight available for the boxes by the number of boxes:
Weight of each box = 1,830 pounds / 10 boxes = 183 pounds
Therefore, each box of books can weigh 183 pounds.
Graphing this solution on a number line:
We can choose a scale of 1 inch = 10 pounds on the number line.
Position 0 inch to 17 inches represents the weight range between 0 to 170 pounds (Lionel's weight).
Position 170 inches to 350 inches represents the weight range between 170 to 350 pounds (the weight range for the boxes of books).
Position 350 inches to 500 inches represents the weight range between 350 to 500 pounds (assumed weight range of the boxes).
The graph might look like:
0--------17------------------------------170--------------------350-----------------------500
Please note that the scale and position of the weight ranges on the number line are approximate and for illustrative purposes.
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) Responses
1 answer