PSLE John had purple staplers and pink staplers for sale. He sold 160 purple staplers. 60% of the staplers sold were pink.
- How many purple staplers and pink staplers did John sell altogether?
- He sold 50% of his staplers. 70% of the staplers left unsold were purple. How many pink staplers did John have at first?
| |
Purple |
Pink |
Total |
Total in percent |
| Before |
5.5 u |
4.5 u |
10 u |
100% |
| Change |
- 40%
- 2 u |
- 60%
- 3 u |
- 100%
- 5 u |
- 50% |
| After |
70%
3.5 u |
30%
1.5 u |
100%
5 u |
50%
|
60% =
60100 =
35 Total number of staplers sold = 5 u
Number of pink staplers sold = 3 u
Number of purple staplers sold
= 5 u - 3 u
= 2 u
2 u = 160
1 u = 160 ÷ 2 = 80
Total number of staplers sold
= 5 u
= 5 x 80
= 400
(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 purple = 70%
Percent of the staplers left unsold that were pink = 100% - 70% = 30%
Number of the staplers left unsold that were pink
= 30% x 5 u
=
30100 x 5 u
= 1.5 u
Number of pink staplers that John had at first
= 1.5 u + 3 u
= 4.5 u
= 4.5 x 80
= 360
Answer(s): (a) 400; (b) 360
