PSLE Jeremy had orange pencils and green pencils for sale. He sold 20 orange pencils. 60% of the pencils sold were green.
- How many orange pencils and green pencils did Jeremy sell altogether?
- He sold 50% of his pencils. 80% of the pencils left unsold were orange. How many green pencils did Jeremy have at first?
|
Orange |
Green |
Total |
Total in percent |
Before |
6 u |
4 u |
10 u |
100% |
Change |
- 40% - 2 u |
- 60% - 3 u |
- 100% - 5 u |
- 50% |
After |
80% 4 u |
20% 1 u |
100% 5 u |
50%
|
60% =
60100 =
35 Total number of pencils sold = 5 u
Number of green pencils sold = 3 u
Number of orange pencils sold
= 5 u - 3 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of pencils sold
= 5 u
= 5 x 10
= 50
(b)
Percent of the pencils left unsold = 100% - 50% = 50% 50% of the pencils that were sold = 5 u 50% of the pencils that were left unsold = 5 u Percent of the pencils left unsold that were orange = 80%
Percent of the pencils left unsold that were green = 100% - 80% = 20%
Number of the pencils left unsold that were green
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of green pencils that Jeremy had at first
= 1 u + 3 u
= 4 u
= 4 x 10
= 40
Answer(s): (a) 50; (b) 40