0
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?
Wiki User
∙ 15y ago
There are 10 possible combinations of pairs in five bales: A+B, A+C, A+D, A+E, B+C, B+D, B+E, C+D, C+E, and D+E. Each bale shows four times in the above possible pairs. So, the sum of all possible pairs equals the sum of all the weights; or
4A+4B+4C+4D+4E = 1156 or
4(A+B+C+D+E) =1156; therefore
A+B+C+D+E = 289.
The two lightest bales equal the lightest pair weight of 110; the two heaviest produce the heaviest pair weight of 121. Combining these two produces the following:
A+B+D+E = 231
Subtract the second conclusion from the first and you conclude
C = 58.
If A+B is the lightest pair, A+C is second-lightest at 112 lb; therefore A=54. Solving for the remaining values is now a matter of moments.
A =54
B = 56
C = 58
D = 59
E = 62.
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
Ricky went to the store and bought 8 boxes of apples The lightest box weighed 33 pounds The heaviest box weighed 49 pounds Which could be the total weight of the apple boxes?
It is possible that only 1 box weighed 33 lbs and 7 boxes weighed 49 lbs giving 376lbs. It is also possible that 7 boxes weigh 33lbs and only 1 box weighs 49 lbs giving 280lbs.
A puppy weights 4 pounds when there born and they weight 75 when there bigger how many weights does it gain?
4 pounds from 75 pounds is 71 pounds, so the dog has gained 71 pounds in weight.
If a patients weights 45.45 kilograms he also weights pounds?
45.45kg = 100.2lb
What are the unit for weights?
newtons
Bobby went to the store and bought 8 boxes of oranges The lightest box weighed 36.85 pounds The heaviest box weighed 42.15 pounds what could be the total weight of the orange boxe?
The lightest possible combination of boxes = 8 x 36.85 = 294.8 The heaviest possible combination of boxes = 8 x 42.15 = 337.2 the answer will be in between those 2 values
How heavy is yokozuna?
The first few years he wrestled he weighed 500 pounds. then he quit wrestling for a while. Then he came back and he weighed 650 pounds.
He Weighed 12 pounds 11 ounces at birth?
That's a bit heavy, but I suppose there are several people who weighed that much at birth.
How many possible weights are there between 10 and 20 pounds?
There are 11 possible weights between 10 and 20 pounds (excluding 10 and 20). These weights are 11, 12, 13, 14, 15, 16, 17, 18, and 19 pounds.
How heavy is Alex Ovechkin?
215 pounds he is 6'2 1/2 and weights 233 pounds.
Can there be someone that is 1000 pounds?
It is very possible, because already a women weighed 998 pounds!! yea and there is man that weighs more than that now i saw it on discovery health and they weighed over a thousand pounds so that tells you that it's possible for both men and women.
How much does the biggest soap weigh?
The largest bar of soap ever made weighed 5,436 pounds.
How much does the Gary fisher cobia weigh?
30.5 pounds. Just weighed it at my LBS. Trek is trying to cover up their weight by saying that they can't get an accurate description on their weights.
Which President weighed 352 pounds?
William Taft was the US President who weighed 352 pounds.
What is the weight of a 1948 farmall tractor?
A cub weighed 1426 pounds.An H weighed 3875 pounds. An M weighed 4858 pounds.
Is a large television weighed in pounds or tons?
it is weighed in kilos
Ricky went to the store and bought 8 boxes of apples The lightest box weighed 33 pounds The heaviest box weighed 49 pounds Which could be the total weight of the apple boxes?
It is possible that only 1 box weighed 33 lbs and 7 boxes weighed 49 lbs giving 376lbs. It is also possible that 7 boxes weigh 33lbs and only 1 box weighs 49 lbs giving 280lbs.
If you weighed 166.9kg how many pounds is that.?
360.58 pounds.
