George, Vaidev and Neave had some erasers in the ratio of 5 : 6 : 11. Neave gave 50% of his erasers to George and Vaidev. As a result, George had the same number of erasers as Vaidev and Neave had 22 fewer erasers than George.

1. What was the percentage increase in George's erasers after receiving from Neave?
2. How many erasers did Vaidev have at first?

George	Vaidev	Neave	Total
5 u	6 u	11 u	22 u
+ 5.5 u		- 5.5 u
8.25 u	8.25 u	5.5 u	22 u

(a)
Number of erasers that Neave gave away
= 50% x 11
= ⁵⁰₁₀₀ x 11
= 5.5 u

Number of erasers that George and Vaidev each had in the end
= (22 u - 5.5 u) ÷ 2
= 16.5 u ÷ 2
= 8.25 u

Increase in the number of erasers that George had
= 8.25 u - 5 u
= 3.25 u

Percentage increase in George's erasers after receiving from Neave
= ^3.25₅ x 100%
= 65%

(b)
8.25 u = 5.5 u + 22
8.25 u - 5.5 u = 22
2.75 u = 22

1 u = 22 ÷ 2.75 = 8

Number of erasers that Vaidev had at first
= 6 u
= 6 x 8
= 48

Answer(s): (a) 65%; (b) 48