Question

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

Answer 1

To solve this problem, we need to divide the total weight the elevator can hold by the number of boxes and subtract Lionel's weight.

Total weight the elevator can hold: 2,000 pounds
Lionel's weight: 170 pounds
Number of boxes: 10

Let's use the variable "x" to represent the weight of each box.
We can now set up the equation:
10x + 170 = 2000

Now we can solve for x:
10x = 2000 - 170
10x = 1830
x = 1830/10
x = 183

So each box can weigh up to 183 pounds.

To graph the solution on a number line, let's set up a number line from 0 to 200.
At 0, we can mark Lionel's weight of 170 pounds.
At 200, we can mark the maximum weight limit of the elevator at 2000 pounds.
We can then mark the weight of each box, which is 183 pounds.

0 170 183 200
|------------------------|-------------------------|

So the solution is graphed on the number line.