A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 1030 lb. How many boxes of books can the delivery person bring up at one time?
The delivery person can bring up ? boxes of books.
The weight of the delivery person is 160 lb and each box of books weighs 40 lb. Let's assume the number of boxes of books that the delivery person can bring up at one time be x. Therefore, the total weight of the boxes with books that the delivery person can bring up is 40x lb.
According to the problem, the maximum capacity of the elevator is 1030 lb. So, we can write the equation:
40x + 160 ≤ 1030
Now, we solve this inequality to find the maximum number of boxes that can be brought up at one time.
Subtracting 160 from both sides:
40x ≤ 1030 - 160
40x ≤ 870
Dividing both sides by 40:
x ≤ 870/40
x ≤ 21.75
However, the number of boxes must be a whole number, so the delivery person can bring up a maximum of 21 boxes of books at one time.
To find out how many boxes of books the delivery person can bring up at one time, we need to subtract the weight of the delivery person from the maximum capacity of the elevator and then divide the result by the weight of each box of books.
Weight of the delivery person: 160 lb
Weight of each box of books: 40 lb
Maximum capacity of the elevator: 1030 lb
Let's calculate:
Capacity of the elevator for boxes = Maximum capacity - Delivery person's weight
Capacity of the elevator for boxes = 1030 lb - 160 lb
Capacity of the elevator for boxes = 870 lb
Number of boxes that can be brought up at one time = Capacity of the elevator for boxes / Weight of each box of books
Number of boxes = 870 lb / 40 lb
Number of boxes = 21.75
Since we cannot have a fraction of a box, the delivery person can bring up a maximum of 21 boxes of books at one time.
To find out how many boxes of books the delivery person can bring up at one time, we need to subtract the weight of the delivery person from the maximum capacity of the elevator and then divide the result by the weight of each box of books.
Let's calculate it step by step:
1. Subtract the weight of the delivery person from the maximum capacity of the elevator:
1030 lb - 160 lb = 870 lb
2. Divide the result by the weight of each box of books:
870 lb ÷ 40 lb = 21.75
The delivery person can bring up a maximum of 21 boxes of books at one time.
However, since we are dealing with whole boxes, the delivery person can bring up a maximum of 21 whole boxes of books at one time.
So, the delivery person can bring up 21 boxes of books.
The delivery person can bring up 21 boxes of books at one time.