PSLE
Reggie had silver notebooks and red notebooks for sale. He sold 40 silver notebooks. 60% of the notebooks sold were red.

1. How many silver notebooks and red notebooks did Reggie sell altogether?
2. He sold 50% of his notebooks. 75% of the notebooks left unsold were silver. How many red notebooks did Reggie have at first?

	Silver	Red	Total	Total in percent
Before	5.75 u	4.25 u	10 u	100%
Change	- 40% - 2 u	- 60% - 3 u	- 100% - 5 u	- 50%
After	75% 3.75 u	25% 1.25 u	100% 5 u	50%

60% = ⁶⁰₁₀₀ = ³₅

Total number of notebooks sold = 5 u
Number of red notebooks sold = 3 u

Number of silver notebooks sold
= 5 u - 3 u
= 2 u

2 u = 40

1 u = 40 ÷ 2 = 20

Total number of notebooks sold
= 5 u
= 5 x 20
= 100

(b)
Percent of the notebooks left unsold
= 100% - 50%
= 50%

50% of the notebooks that were sold = 5 u
50% of the notebooks that were left unsold = 5 u

Percent of the notebooks left unsold that were silver = 75%
Percent of the notebooks left unsold that were red = 100% - 75% = 25%

Number of the notebooks left unsold that were red
= 25% x 5 u
= ²⁵₁₀₀ x 5 u
= 1.25 u

Number of red notebooks that Reggie had at first
= 1.25 u + 3 u
= 4.25 u
= 4.25 x 20
= 85

Answer(s): (a) 100; (b) 85