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Answer :
Total ratio is 1 + 3 + 5 = 9
Share for 1 = 1/9 × 144
= 16kg
Share for 3= 3/9 × 144
= 48kg
Share for 5= 5/9 × 144
= 80kg
Proof= 80 + 48 + 16 =144
Share for 1 = 1/9 × 144
= 16kg
Share for 3= 3/9 × 144
= 48kg
Share for 5= 5/9 × 144
= 80kg
Proof= 80 + 48 + 16 =144
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Final answer:
The total weight of 144kg is to be divided in the ratio 1:3:5. By calculating the value of each part (16kg) and multiplying it by the respective ratio numbers, the weights are consequently distributed as: 16kg, 48kg, and 80kg.
Explanation:
The question concerns dividing a quantity, in this case 144kg, in the ratio 1:3:5. To solve this, we need to calculate how many parts the total quantity is to be divided into and then distribute the weight according to the ratio.
Firstly, we add the parts of the ratio together: 1 + 3 + 5 = 9 parts in total. Now we take the total weight of 144kg and divide it by the number of parts: 144kg ÷ 9 = 16kg per part.
Once we have the weight per part, we can multiply it by the ratio numbers to get the individual weights: For the '1' part: 16kg x 1 = 16kg, for the '3' part: 16kg x 3 = 48kg, and for the '5' part: 16kg x 5 = 80kg.
So, the weights distributed by the ratio 1:3:5 would be 16kg, 48kg, and 80kg respectively.
