A custodian must move a shipment of books from the first floor to the sixth floor. The elevator's weight limit is 900 pounds. If the custodian weighs 160 pounds and each box of books weighs 37 pounds, find the maximum number of boxes the custodian can move on the elevator at one time.
2006-09-11 14:48:57 · 11 answers · asked by jason 1 in Science & Mathematics ➔ Mathematics
With the custodian's weight and the weight of the boxes, carrrying 20 boxes will give you EXACTLY 900 pounds. 10 Points :) ?????
2006-09-11 14:50:51 · answer #1 · answered by C. Hudgins 3 · 0⤊ 0⤋
Hmmm....
Ok, assuming the custodian rides on the elevator at the same time as the books ( a safe assumption)...
The elevator's capacity is reduced by 160 (the weight of the custodian), so the elevator can only hold (900 - 160) = 740lbs
Each box is 37 lbs, so 740 / 37 lbs. = 20 boxes
2006-09-11 21:56:56 · answer #2 · answered by Mark B 2 · 0⤊ 0⤋
first subtrat th weight of the custodian
900-160=740
then divide the rest of the weight by the wieght of each box
740/ 37 = 20
the custodian can take up to 20 boxes a trip
2006-09-15 16:57:16 · answer #3 · answered by Minyeon P 1 · 0⤊ 0⤋
with the custodian accompanying the boxes of books in the elevator, the answer is 20 boxes of books.
another possibility is: the custodian can load the elevator with 24 and almost a half box of books, push the button to floor 6, the custodian can take the stair and meet his load on the 6th floor.
2006-09-11 22:02:26 · answer #4 · answered by Liwayway 3 · 0⤊ 0⤋
(900-160)/37 = 20 boxes + custodian per run
2006-09-11 21:51:23 · answer #5 · answered by Mr Pink 2 · 0⤊ 0⤋
(900-160)/37= x
(740)/37=x
20=x
20 boxes of books plus the custodian can fit on the elevator bringing it to its maximum weight but not exceding it.
2006-09-11 21:57:48 · answer #6 · answered by Pumbler 1 · 0⤊ 0⤋
37x + 160 < (or equal to) 900
37 represents the weight of the books. X represents how many boxes you have.
160 is the weight of the custodian, which we know is constant.
900 is the weight limit, which we can reach but not exceed.
2006-09-11 21:54:24 · answer #7 · answered by Anonymous · 0⤊ 0⤋
The answer is 20. 900-160 = 740. 740/37 = 20
2006-09-11 21:51:42 · answer #8 · answered by Vegetaf 2 · 0⤊ 0⤋
that's easy, 20!
900-160=740
740 divided by 37 equals 20... so 20 boxes at one time would match the weight max. of the elevator
2006-09-11 21:51:55 · answer #9 · answered by wartori278 1 · 0⤊ 0⤋
900#-160# = 740#
740# is what you can still take on, in other words 740/37 = 20 boxes maximum
2006-09-11 21:55:51 · answer #10 · answered by fabmaster6 3 · 0⤊ 0⤋