A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 190 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1080 lb. How many boxes of books can the delivery person bring up at one time?
Let the number of boxes of books that the delivery person can bring up at one time be represented by x.
The total weight of the books is 50x lb.
To find the maximum number of boxes, we need to solve the inequality:
50x + 190 ≤ 1080
Subtracting 190 from both sides, we get:
50x ≤ 890
Dividing both sides by 50, we get:
x ≤ 17.8
Since we cannot have a fraction of a box, the delivery person can bring up a maximum of 17 boxes of books at one time. Answer: \boxed{17}.
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:
Step 1: Subtract the weight of the delivery person from the maximum capacity of the elevator.
1080 lb - 190 lb = 890 lb
Step 2: Divide the result by the weight of each box of books.
890 lb ÷ 50 lb = 17.8
Since we can't have a fraction of a box, we must round down to the nearest whole number.
Step 3: Round down to the nearest whole number.
Rounding 17.8 down to the nearest whole number, we get 17.
Therefore, the delivery person can bring up 17 boxes of books at one time.