PSLE Jeremy had purple markers and yellow markers for sale. He sold 100 purple markers. 60% of the markers sold were yellow.
- How many purple markers and yellow markers did Jeremy sell altogether?
- He sold 50% of his markers. 75% of the markers left unsold were purple. How many yellow markers did Jeremy have at first?
|
Purple |
Yellow |
Total |
Total in percent |
Before |
5.75 u |
4.25 u |
10 u |
100% |
Change |
- 40% - 2 u |
- 60% - 3 u |
- 100% - 5 u |
- 50% |
After |
75% 3.75 u |
25% 1.25 u |
100% 5 u |
50%
|
60% =
60100 =
35 Total number of markers sold = 5 u
Number of yellow markers sold = 3 u
Number of purple markers sold
= 5 u - 3 u
= 2 u
2 u = 100
1 u = 100 ÷ 2 = 50
Total number of markers sold
= 5 u
= 5 x 50
= 250
(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 purple = 75%
Percent of the markers left unsold that were yellow = 100% - 75% = 25%
Number of the markers left unsold that were yellow
= 25% x 5 u
=
25100 x 5 u
= 1.25 u
Number of yellow markers that Jeremy had at first
= 1.25 u + 3 u
= 4.25 u
= 4.25 x 50
= 212.5
Answer(s): (a) 250; (b) 212.5