A pile of sand has a weight of 90kg. The same is put into a small bag, a medium bag and a large bag in the ratio of 2:3:7. Work out the weight of sand in each bag

Remark

This requires some sort of constant that each of the ratio members is multiplied by.

Call the constant x

Equation

2x + 3x + 7x = 90 Add the left hand side

Solution

12x = 90 Divide by 13

x = 90 / 12

x = 7,5

Answer

2x = 2 * 7.5

2x = 15

3x = 22.5

7x = 52.5

Sum = 90 as it should be