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.(
ANSWERS!!!
1. Maeve's Earnings Each Weekend
140 ---------------> 180+
2. Weight of Each Box in the Elevator
0 <----------------- 183
3. Kris needs to earn at least $179.38 each weekend to meet her goal.
4. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal
5. James needs to serve more than 120 customers this week to meet his goal.
100% FOR CONNECTIONS!
Let's say each box of books weighs x pounds.
The total weight of the 10 boxes of books is 10x pounds.
Lionel's weight should be added to the total weight to know the maximum weight of the elevator: 10x + 170
Since the maximum weight is 2000 pounds, we can set up the equation: 10x + 170 = 2000
Subtracting 170 from both sides of the equation, we get: 10x = 2000-170 = 1830
Dividing both sides by 10, we get: x = 1830/10 = 183
So, each box of books can weigh a maximum of 183 pounds.
Graph on Number Line:
On the number line, we can represent the weight of each box of books (x) starting from 0 pounds and going up to 183 pounds.
0_________183
The weight of each box of books can be any value between 0 and 183 pounds, including 0 and 183.