SOLUTION: The sign on the elevator in a seven-story building states that the maximum weight it can carry is 1500 pounds. As part of your work-study program, you need to move a large shipment

Algebra.Com
Question 251935: The sign on the elevator in a seven-story building states that the maximum weight it can carry is 1500 pounds. As part of your work-study program, you need to move a large shipment of books to the sixth floor. Each box weighs 60 pounds.
Let n represent the number of boxes placed in the elevator. You weigh 185 pounds. Write an expression that represents the total weight in the elevator. Using the expression in part a, write an inequality that can be used to determine the maximum number of boxes that you can place in the elevator at one time and solve.

Found 3 solutions by richwmiller, checkley77, stanbon:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
185+60n<=1500
max number of boxes=21
60*21+185=1445
60*22+185=1505 22 boxes are over the limit by 5 lbs.

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
1,500=185+60x
60x=1,500-185
60x=1,315
x=1,315/60
x=21.9 or 21 boxes is the max number of boxes in the elevator at one time.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The sign on the elevator in a seven-story building states that the maximum weight it can carry is 1500 pounds. As part of your work-study program, you need to move a large shipment of books to the sixth floor. Each box weighs 60 pounds.
Let n represent the number of boxes placed in the elevator. You weigh 185 pounds. Write an expression that represents the total weight in the elevator. Using the expression in part a, write an inequality that can be used to determine the maximum number of boxes that you can place in the elevator at one time and solve.
------------
Solve for "n":
60n + 185 = 1500
60n = 1315
n = 21.92
Rounding down the maximum number of boxes is 21.
---
Cheers,
Stan H.

RELATED QUESTIONS

The elevator installed in a building can carry up to 10 people or a maximum weight of 800 (answered by Boreal)
The elevator installed in a building can carry up to 10 people or a maximum weight of 800 (answered by Boreal)
In and apartment building there is one elevator, and the maximum load that it can carry... (answered by ankor@dixie-net.com)
An elevator has an inspection certificate stating that the maximum weight the elevator... (answered by macston)
You work in a warehouse in shipping and receiving. You just started. The sign on the... (answered by math_tutor2020,ikleyn)
The maximum weight on an elevator is 2000... (answered by oberobic)
There are several elevators in the Sandy Beach Hotel. Each elevator can hold at most 12... (answered by math_tutor2020)
a 205 pound man is loading with identical 76-pound boxes. the elevator can carry no more... (answered by Boreal)
DEFINE A VARIBLE AND WRITE AN INEQUALITY TO MODEL THE SITUATION. THE MAXIMUM (answered by funmath)