Question

A sum of money is to be divided among a,b and c in the ratio 2:3:5. The smallest share amounts to $600

Answer 1

To divide the sum of money among a, b, and c in the ratio 2:3:5, we need to find the total value of the ratio, determine the value of 1 part of the ratio, and calculate the share of each person.

Step-by-step explanation:

To divide the sum of money among a, b, and c in the ratio 2:3:5, we need to find the total value of the ratio. This can be done by adding up the parts of the ratio: 2 + 3 + 5 = 10.

Now, we can determine the value of 1 part of the ratio by dividing the smallest share by its corresponding ratio value: $600 / 2 = $300.

Finally, we can calculate the share of each person by multiplying the value of 1 part by their ratio value. For example, person a's share is 2 * $300 = $600.

Answer 2

2x + 3x + 5x =600
10x=600
x=60
The smallest amount gets 2(60)= $120
Next pers gets 3(60)= $180
Last person gets 5(60)= $300
So your answer of smallest share is $120