PSLE Fabian had silver notebooks and gold notebooks for sale. He sold 120 silver notebooks. 40% of the notebooks sold were gold.
- How many silver notebooks and gold notebooks did Fabian sell altogether?
- He sold 50% of his notebooks. 60% of the notebooks left unsold were silver. How many gold notebooks did Fabian have at first?
|
Silver |
Gold |
Total |
Total in percent |
Before |
6 u |
4 u |
10 u |
100% |
Change |
- 60% - 3 u |
- 40% - 2 u |
- 100% - 5 u |
- 50% |
After |
60% 3 u |
40% 2 u |
100% 5 u |
50%
|
40% =
40100 =
25 Total number of notebooks sold = 5 u
Number of gold notebooks sold = 2 u
Number of silver notebooks sold
= 5 u - 2 u
= 3 u
3 u = 120
1 u = 120 ÷ 3 = 40
Total number of notebooks sold
= 5 u
= 5 x 40
= 200
(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 = 60%
Percent of the notebooks left unsold that were gold = 100% - 60% = 40%
Number of the notebooks left unsold that were gold
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of gold notebooks that Fabian had at first
= 2 u + 2 u
= 4 u
= 4 x 40
= 160
Answer(s): (a) 200; (b) 160