PSLE Fred had purple pens and pink pens for sale. He sold 150 purple pens. 70% of the pens sold were pink.
- How many purple pens and pink pens did Fred sell altogether?
- He sold 50% of his pens. 70% of the pens left unsold were purple. How many pink pens did Fred have at first?
| |
Purple |
Pink |
Total |
Total in percent |
| Before |
10 u |
10 u |
20 u |
100% |
| Change |
- 30%
- 3 u |
- 70%
- 7 u |
- 100%
- 10 u |
- 50% |
| After |
70%
7 u |
30%
3 u |
100%
10 u |
50%
|
70% =
70100 =
710 Total number of pens sold = 10 u
Number of pink pens sold = 7 u
Number of purple pens sold
= 10 u - 7 u
= 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
Total number of pens sold
= 10 u
= 10 x 50
= 500
(b)
Percent of the pens left unsold = 100% - 50% = 50% 50% of the pens that were sold = 10 u 50% of the pens that were left unsold = 10 u Percent of the pens left unsold that were purple = 70%
Percent of the pens left unsold that were pink = 100% - 70% = 30%
Number of the pens left unsold that were pink
= 30% x 10 u
=
30100 x 10 u
= 3 u
Number of pink pens that Fred had at first
= 3 u + 7 u
= 10 u
= 10 x 50
= 500
Answer(s): (a) 500; (b) 500
