PSLE Zeph had purple markers and yellow markers for sale. He sold 150 purple markers. 70% of the markers sold were yellow.
- How many purple markers and yellow markers did Zeph sell altogether?
- He sold 50% of his markers. 60% of the markers left unsold were purple. How many yellow markers did Zeph have at first?
| |
Purple |
Yellow |
Total |
Total in percent |
| Before |
9 u |
11 u |
20 u |
100% |
| Change |
- 30%
- 3 u |
- 70%
- 7 u |
- 100%
- 10 u |
- 50% |
| After |
60%
6 u |
40%
4 u |
100%
10 u |
50%
|
70% =
70100 =
710 Total number of markers sold = 10 u
Number of yellow markers sold = 7 u
Number of purple markers sold
= 10 u - 7 u
= 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
Total number of markers sold
= 10 u
= 10 x 50
= 500
(b)
Percent of the markers left unsold = 100% - 50% = 50% 50% of the markers that were sold = 10 u 50% of the markers that were left unsold = 10 u Percent of the markers left unsold that were purple = 60%
Percent of the markers left unsold that were yellow = 100% - 60% = 40%
Number of the markers left unsold that were yellow
= 40% x 10 u
=
40100 x 10 u
= 4 u
Number of yellow markers that Zeph had at first
= 4 u + 7 u
= 11 u
= 11 x 50
= 550
Answer(s): (a) 500; (b) 550
