PSLE Caden had purple pencils and green pencils for sale. He sold 140 purple pencils. 60% of the pencils sold were green.
- How many purple pencils and green pencils did Caden sell altogether?
- He sold 50% of his pencils. 60% of the pencils left unsold were purple. How many green pencils did Caden have at first?
| |
Purple |
Green |
Total |
Total in percent |
| Before |
5 u |
5 u |
10 u |
100% |
| Change |
- 40%
- 2 u |
- 60%
- 3 u |
- 100%
- 5 u |
- 50% |
| After |
60%
3 u |
40%
2 u |
100%
5 u |
50%
|
60% =
60100 =
35 Total number of pencils sold = 5 u
Number of green pencils sold = 3 u
Number of purple pencils sold
= 5 u - 3 u
= 2 u
2 u = 140
1 u = 140 ÷ 2 = 70
Total number of pencils sold
= 5 u
= 5 x 70
= 350
(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 purple = 60%
Percent of the pencils left unsold that were green = 100% - 60% = 40%
Number of the pencils left unsold that were green
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of green pencils that Caden had at first
= 2 u + 3 u
= 5 u
= 5 x 70
= 350
Answer(s): (a) 350; (b) 350
