Three bags of sweets weigh 6 3/4 kg. Two of them have the same weight and the third bag is heavier than each of the bags of equal weight by 1 1/5 kg. Find the weight of each bag.

Answer: the weight of each bags are 1.85kg, 1.85kg and 3.05 kg

Step-by-step explanation:

Total weight of the three bags is

6 3/4 kg. Converting to decimal, it becomes 6.75 kg.

Two of them have the same weight. Let x represent the bags of equal weight. Their total weight would be 2x. The third bag is heavier than each of the bags of equal weight by 1 1/5 kg. Converting to decimal, it becomes 1.2kg. It means that the weight of the third bag would be

x + 1.2

Therefore, for the three bags,

2x + x + 1.2 = 6.75

3x = 6.75 - 1.2 = 5.55

x = 5.55/3 = 1.85

Weight of the third bag is

1.85 + 1.2 = 3.05kg