We have two soap of equal weights and a 3/4 pound weight. However, after using 1/4 of soap we place all three objects on balance as On one side of balance we place one soap(unused) and on another side, we placed used soap (i.e 3/4th of soap) and 3/4 pound weight.
What is the soap weight?
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If 4 1 of the soap is used 4 3 of it is left and if three fourth of the soap + three - fourth lbs =1 soap
Then the 4 1 of it that was used is three fourth lb,
So if 4 1 is three fourth lb then 4 4 is 4 × 4 3 × 4 = 4 1 2 = 3 lbs
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Based on information provided, we can deduce that 4 3 lbs = 4 1 of soap weight
=> soap weight = 4 × 4 3 = 3 lbs