Answer:
15 kg, 22.5 kg, 52.5 kg
Step-by-step explanation:
Let the common multiplier of the given ratios be x. Therefore, weights of each bag would be 2x, 3x and 7x
According to the given information:
[tex]2x + 3x + 7x = 90 \\ 12x = 90 \\ x = \frac{90}{12} \\ x = 7.5 \: \\ \implies \\ 2x = 2 \times 7.5 = 15 \: kg \\ 3x = 3 \times 7.5 = 22.5 \: kg \\ 7x = 7 \times 7.5 = 52.5 \: kg[/tex]
Hence the weight of sand in bag would be 15 kg, 22.5 kg and 52.5 kg