Lynell is loading boxes of books into an elevator to move to tge 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 2000 pounds Lynell 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
To solve the problem, we can use the equation:
(Weight of Lynell) + (Weight of each box) * (Number of boxes) ≤ Maximum weight of the elevator
Let's substitute the given values into the equation:
170 + (Weight of each box) * 10 ≤ 2000
Now, we can solve for the weight of each box:
(Weight of each box) * 10 ≤ 2000 - 170
(Weight of each box) * 10 ≤ 1830
Weight of each box ≤ 1830 / 10
Weight of each box ≤ 183
Therefore, each box of books can weigh up to 183 pounds.
To graph the solution on a number line, we can plot the weights that the box cannot exceed. Since the weight cannot exceed 183 pounds, we can plot it as a closed circle on 183 and shade all the values to the left (less than 183).
Number Line:
-----o====================>
0 183
Hope that helps!