Durgesh has three boxes of fruits. Box I contains 1/2 kg more than Box III and Box III contains 2 1/2 kg less than Box II. If the total weight of the boxes is 146 1/2 kg. find the weight of each box.
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Answer:
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{\small{\red{\boxed{60.425\: kg, \:\:31.33\: kg\:\: and\:\: 30.83 \:kg \:\:respectively. }}}}
60.425kg,31.33kgand30.83kgrespectively.
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Given:-
Durgesh has 3 boxes of fruit. {Box ।, ।।, ।।।}
Box | contains 1/2kg more than box |||.
Box ||| contains 2 1/2 kg less than Box ||.
Total weight = 146 1/2 kg.
Let the weight of box || be x kg.
So ,
Box ||| contains (x - 2 1/2) kg fruits.
And,Box | contains 1/2+(x-2 1/2) kg fruits.
Now,
According To the Question,
x + {1/2 + (× - 2 1/2)} + {(× - 2 1/2)} = 146 1/2.
=》 x+1/2+x-5/2+x-5/2 = 293/2
{Converting into improper fraction}
=》 3x+1/2-10/2 = 239/2.
=》 3x-9/2 = 239/2.
=》 3x = 239/2+9/2.
=》 3x = 248/2.
=》 3x = 124.
=》 x = 124/3.
=》 x = 31.33 [Approx]
So weight of box || is 31.33 kg,
Weight of box |||
= 31.33 - 5/2 = 61.66/2 = 30.83 kg
Weight of box |
= 1/2+30.83 = 60.425 kg.
Therefore weight of box |, || and ||| is 60.425 kg, 31.33 kg and 30.83 kg respectively.
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