PSLE Ben had red markers and orange markers for sale. He sold 240 red markers. 60% of the markers sold were orange.
- How many red markers and orange markers did Ben sell altogether?
- He sold 50% of his markers. 70% of the markers left unsold were red. How many orange markers did Ben have at first?
|
Red |
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 markers sold = 5 u
Number of orange markers sold = 3 u
Number of red markers sold
= 5 u - 3 u
= 2 u
2 u = 240
1 u = 240 ÷ 2 = 120
Total number of markers sold
= 5 u
= 5 x 120
= 600
(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 red = 70%
Percent of the markers left unsold that were orange = 100% - 70% = 30%
Number of the markers left unsold that were orange
= 30% x 5 u
=
30100 x 5 u
= 1.5 u
Number of orange markers that Ben had at first
= 1.5 u + 3 u
= 4.5 u
= 4.5 x 120
= 540
Answer(s): (a) 600; (b) 540