Vaidev and Caden had 183 notebooks together. Caden had 5 less notebooks than Vaidev. Both of them sold some of their notebooks. Caden sold 10% more notebooks than what Vaidev sold. In the end, Caden had half as many notebooks left as Vaidev. How many notebooks had Caden left?

	Vaidev (1)	Caden (2)	Make p the same (2)x2 = (3)
Comparing Vaidev and Caden at first	5 more
Before	94	89	178
Change	- 10 u	- 11 u	- 22 u
After	2 p	1 p	2 p

Number of notebooks that Caden had at first
= (183 - 5) ÷ 2
= 178 ÷ 2
= 89

Number of notebooks that Vaidev had at first
= 89 + 5
= 94

Number of notebooks that Caden sold in percent
= 100% + 10%
= 110%

110% = ¹¹⁰₁₀₀ = ¹¹₁₀

Make p the same.

(1) = (3)
94 - 10 u = 178 - 22 u
22 u - 10 u = 178 - 94
12 u = 84

1 u = 84 ÷ 12 = 7

Number of notebooks that Caden had left
= 89 - 11 u
= 89 - 11 x 7
= 89 - 77
= 12

Answer(s): 12