PSLE Wesley had gold pens and orange pens for sale. He sold 40 gold pens. 60% of the pens sold were orange.
- How many gold pens and orange pens did Wesley sell altogether?
- He sold 50% of his pens. 70% of the pens left unsold were gold. How many orange pens did Wesley have at first?
|
Gold |
Orange |
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 pens sold = 5 u
Number of orange pens sold = 3 u
Number of gold pens sold
= 5 u - 3 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Total number of pens sold
= 5 u
= 5 x 20
= 100
(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 gold = 70%
Percent of the pens left unsold that were orange = 100% - 70% = 30%
Number of the pens left unsold that were orange
= 30% x 5 u
=
30100 x 5 u
= 1.5 u
Number of orange pens that Wesley had at first
= 1.5 u + 3 u
= 4.5 u
= 4.5 x 20
= 90
Answer(s): (a) 100; (b) 90