PSLE Fabian had gold staplers and purple staplers for sale. He sold 80 gold staplers. 60% of the staplers sold were purple.
- How many gold staplers and purple staplers did Fabian sell altogether?
- He sold 50% of his staplers. 60% of the staplers left unsold were gold. How many purple staplers did Fabian have at first?
|
Gold |
Purple |
Total |
Total in percent |
Before |
5 u |
5 u |
10 u |
100% |
Change |
- 40% - 2 u |
- 60% - 3 u |
- 100% - 5 u |
- 50% |
After |
60% 3 u |
40% 2 u |
100% 5 u |
50%
|
60% =
60100 =
35 Total number of staplers sold = 5 u
Number of purple staplers sold = 3 u
Number of gold staplers sold
= 5 u - 3 u
= 2 u
2 u = 80
1 u = 80 ÷ 2 = 40
Total number of staplers sold
= 5 u
= 5 x 40
= 200
(b)
Percent of the staplers left unsold = 100% - 50% = 50% 50% of the staplers that were sold = 5 u 50% of the staplers that were left unsold = 5 u Percent of the staplers left unsold that were gold = 60%
Percent of the staplers left unsold that were purple = 100% - 60% = 40%
Number of the staplers left unsold that were purple
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of purple staplers that Fabian had at first
= 2 u + 3 u
= 5 u
= 5 x 40
= 200
Answer(s): (a) 200; (b) 200