Suppose five bales of hay are weighed two at a time in all
possible ways. The weights in pounds are 110, 112, 113, 114,
115, 116, 117, 118, 120, and 121.
How much does each bale weigh?
- 1 Answers
- 6930 Views
- I also Faced
- E-Mail Answers
Answer / guest
They weigh 54, 56, 58, 59, 62 pounds.
Let's assume that the weight of five bales are B1, B2, B3,
B4 and B5 pounds respectively. Also, B1 <= B2 <= B3 <= B4 <= B5
It is given that five bales of hay are weighed two at a time
in all possible ways. It means that each of the bale is
weighted four times.
Thus,
4*(B1 + B2 + B3 + B4 + B5) = (110 + 112 + 113 + 114 + 115 +
116 + 117 + 118 + 120 + 121)
4*(B1 + B2 + B3 + B4 + B5) = 1156
(B1 + B2 + B3 + B4 + B5) = 289 pounds
Now, B1 and B2 must add to 110 as they are the lightest one.
B1 + B2 = 110
Similarly, B4 and B5 must add to 121 as they are the
heaviest one.
B4 + B5 = 121
From above three equation, we get B3 = 58 pounds
Also, it is obvious that B1 and B3 will add to 112 - the
next possible higher value. Similarly, B3 and B5 will add to
120 - the next possible lower value.
B1 + B3 = 112
B3 + B5 = 120
Substituting B3 = 58, we get B1 = 54 and B5 = 62
From 2 & 3 equations, we get B2 = 56 and B4 = 59
Hence, the weight of five bales are 54, 56, 58, 59 and 62
pounds.
| Is This Answer Correct ? | 19 Yes | 8 No |
Replace the letters with the correct numbers. T W O X T W O --------- T H R E E
In rail road there are some stations. Each station should have tickets to all other stations.If they add some new stations they need 46 more tickets.How many stations are there before and after adding the stations?
Three members are hunting in a forest.While crossing a streem cartridges of two of them gets wetted up.Then the third person decides his cartidges equally. After 4 shots of each person, total cartridges remaining are equal to what each had initially after sharing.How many total cartridges they initially they shared?
The ratio of Boys to Girls is 6:4. 60% of the boys and 40% of the girls take lunch in the canteen. What % of class takes lunch in canteen?
500 men are arranged in an array of 10 rows and 50 columns according to their heights. Tallest among each row of all are asked to come out. And the shortest among them is A. Similarly after resuming them to their original positions, the shortest among each column are asked to come out. And the tallest among them is B. Now who is taller A or B ?
Reshma is standing in front of her room.Ramu is coming from north towdars her and he can see his shadow falling on his right.In which direction she is standing?
Your job is to create a simple sum that adds up to 12. You have to use the same number three times and you cannot use the number 4
A Newyorker stays in 36th floor. Daily he goes to his office by walk and returns. While raining, he takes the lift goes to lobby and reaches by walk to his office. In the evening he returns to the building, takes the lift and reaches his apartment on 36th Floor. When it is summer, he takes the lift, goes to lobby and reaches his office by walking. In the evening, he returns home, takes the lift goes to 30th floor and climbs all the six floors by stair case and reaches his apratment. Why?
Assume that you have just heard of a scandal and you are the first one to know. You pass it on to four person in a matter of 30 minutes. Each of these four in turn passes it to four other persons in the next 30 minutes and so on. How long it will take for everybody in the World to get to know the scandal?
You have 9 marbles. 8 marbles weigh 1 ounce each, & one marble weighs 1.5 ounces. You are unable to determine which is the heavier marble by looking at them. You have a weighing scale that consists of 2 pans, but the scale is only good for 2 total weighings. How can you determine which marble is the heaviest one using the scale & in 2 weighings?
Write 1111......(243 times) i.e. a 243 digit number with all 1s. Prove that it is divisible by 243.
there are 5 ppl's in a circle all must wear hat either white or black 1st condition: atleast 2 must wear white 2nd condition: atleast 2 must wear black 3rd: they should not talk each with other Question: How they come to know which colour of hat they are wearing
English 
