Question

Partition 25 in the ratio of 2 : 3.

Answer 1

We will follow the rules of dividing a quantity in a given ratio (two or three) to solve different types of problems.

1. 20 apples are distributed between Aaron and Ben in the ratio 2 : 3. Find, how many does each get?

Solution:

Aaron and Ben get apples in the ratio 2 : 3 i.e. if Aaron gets 2 parts, B should get 3 parts.

In other words, if we make (2 + 3) = 5 equal parts, then Aaron should get 2 parts out of these 5 equal part

i.e. Aaron gets = 2/5 of the total number of apples = 2/5 of 20 = 2/5 × 20 = 8 apples

Similarly, Ben gets 3 parts out of 5 equal parts

i.e. Ben gets = 3/5 of the total number of apples = 3/5 of 20 = 3/5 × 20 = 12 apples

Therefore, Aaron gets 8 apples and Ben gets 12 apples.