PSLE Zeph had black pens and pink pens for sale. He sold 160 black pens. 60% of the pens sold were pink.
- How many black pens and pink pens did Zeph sell altogether?
- He sold 50% of his pens. 60% of the pens left unsold were black. How many pink pens did Zeph have at first?
|
Black |
Pink |
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 pens sold = 5 u
Number of pink pens sold = 3 u
Number of black pens sold
= 5 u - 3 u
= 2 u
2 u = 160
1 u = 160 ÷ 2 = 80
Total number of pens sold
= 5 u
= 5 x 80
= 400
(b)
Percent of the pens left unsold = 100% - 50% = 50% 50% of the pens that were sold = 5 u 50% of the pens that were left unsold = 5 u Percent of the pens left unsold that were black = 60%
Percent of the pens left unsold that were pink = 100% - 60% = 40%
Number of the pens left unsold that were pink
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of pink pens that Zeph had at first
= 2 u + 3 u
= 5 u
= 5 x 80
= 400
Answer(s): (a) 400; (b) 400