PSLE Paul had orange staplers and black staplers for sale. He sold 200 orange staplers. 60% of the staplers sold were black.
- How many orange staplers and black staplers did Paul sell altogether?
- He sold 50% of his staplers. 75% of the staplers left unsold were orange. How many black staplers did Paul have at first?
|
Orange |
Black |
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 staplers sold = 5 u
Number of black staplers sold = 3 u
Number of orange staplers sold
= 5 u - 3 u
= 2 u
2 u = 200
1 u = 200 ÷ 2 = 100
Total number of staplers sold
= 5 u
= 5 x 100
= 500
(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 orange = 75%
Percent of the staplers left unsold that were black = 100% - 75% = 25%
Number of the staplers left unsold that were black
= 25% x 5 u
=
25100 x 5 u
= 1.25 u
Number of black staplers that Paul had at first
= 1.25 u + 3 u
= 4.25 u
= 4.25 x 100
= 425
Answer(s): (a) 500; (b) 425