To find out how much each box can weigh, we first need to calculate the total weight of all the boxes and Lionel. Lionel weighs 170 pounds, and there are 10 boxes of books. So the total weight is:
170 (Lionel's weight) + 10x (weight of each box) = Total weight
We know that the total weight cannot exceed 2,000 pounds. Therefore, we can set up the equation:
170 + 10x ≤ 2,000
Solving for x:
10x ≤ 2,000 - 170
10x ≤ 1,830
x ≤ 183
Therefore, each box can weigh a maximum of 183 pounds.
When graphed on a number line, the solution would be option C:
Weight of Each Box in the Elevator
There is a number line from 0 to 200, and the dot is on 183.
Loinel 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 weights 170 pounds. If each box of books weights the same amount, how much can each box weigh? Solve this problem and then graph the solution on a number line.
A. Weight of Each Box in the Elevator
there is a number line from 50 to 300 the dot is on 300
B. Weight of Each Box in the Elevator
there is a number line from 0 to 200 the dot is on 200
C. Weight of Each Box in the Elevator
there is a number line from 0 to 200 the dot is on 183
D. Weight of Each Box in the Elevator
there is a number line from 0 to 300 the dot is on 183
1 answer