PSLE Cole had silver pens and black pens for sale. He sold 80 silver pens. 60% of the pens sold were black.
- How many silver pens and black pens did Cole sell altogether?
- He sold 50% of his pens. 80% of the pens left unsold were silver. How many black pens did Cole have at first?
|
Silver |
Black |
Total |
Total in percent |
Before |
6 u |
4 u |
10 u |
100% |
Change |
- 40% - 2 u |
- 60% - 3 u |
- 100% - 5 u |
- 50% |
After |
80% 4 u |
20% 1 u |
100% 5 u |
50%
|
60% =
60100 =
35 Total number of pens sold = 5 u
Number of black pens sold = 3 u
Number of silver pens sold
= 5 u - 3 u
= 2 u
2 u = 80
1 u = 80 ÷ 2 = 40
Total number of pens sold
= 5 u
= 5 x 40
= 200
(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 silver = 80%
Percent of the pens left unsold that were black = 100% - 80% = 20%
Number of the pens left unsold that were black
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of black pens that Cole had at first
= 1 u + 3 u
= 4 u
= 4 x 40
= 160
Answer(s): (a) 200; (b) 160