PSLE Charlie had silver markers and purple markers for sale. He sold 160 silver markers. 60% of the markers sold were purple.
- How many silver markers and purple markers did Charlie sell altogether?
- He sold 50% of his markers. 70% of the markers left unsold were silver. How many purple markers did Charlie have at first?
|
Silver |
Purple |
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 markers sold = 5 u
Number of purple markers sold = 3 u
Number of silver markers sold
= 5 u - 3 u
= 2 u
2 u = 160
1 u = 160 ÷ 2 = 80
Total number of markers sold
= 5 u
= 5 x 80
= 400
(b)
Percent of the markers left unsold = 100% - 50% = 50% 50% of the markers that were sold = 5 u 50% of the markers that were left unsold = 5 u Percent of the markers left unsold that were silver = 70%
Percent of the markers left unsold that were purple = 100% - 70% = 30%
Number of the markers left unsold that were purple
= 30% x 5 u
=
30100 x 5 u
= 1.5 u
Number of purple markers that Charlie had at first
= 1.5 u + 3 u
= 4.5 u
= 4.5 x 80
= 360
Answer(s): (a) 400; (b) 360