Let's assume that each box of books weighs x pounds.
The total weight of the books is 10x pounds.
The total weight of Lionel plus the books is 10x + 170 pounds.
According to the problem, the total weight must be less than or equal to 2000 pounds.
So, we can write the inequality: 10x + 170 ≤ 2000.
To solve this inequality, we first subtract 170 from both sides of the inequality: 10x ≤ 1830.
Then, we divide both sides by 10: x ≤ 183.
Therefore, each box of books must weigh less than or equal to 183 pounds.
To graph the solution on a number line, we can plot the values from 0 to 183 and represent the inequality as a shaded region between 0 and 183, including the value 183.
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.
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