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) Weight of Each Box in the Elevator 183 0 Weight of Each Box in the Elevator 50 100 150 200 250 300

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. (1 point) Weight of Each Box in the Elevator 183 0 Weight of Each Box in the Elevator 50 100 150 200 250 300

Answer 1

Let x be the weight of each box.

The total weight of the boxes is 10x.
The maximum weight of the elevator is 2,000 pounds.
So, the equation would be: 10x + 170 ≤ 2000.
Subtracting 170 from both sides, we get 10x ≤ 1830.
Dividing both sides by 10, we get x ≤ 183.
Therefore, each box can weigh at most 183 pounds.

Graphing this on a number line:
We indicate that the weight of each box is less than or equal to 183 by shading the number line to the left of 183 and including 183 with a closed circle.