PSLE Rael had black pencils and purple pencils for sale. He sold 30 black pencils. 70% of the pencils sold were purple.
- How many black pencils and purple pencils did Rael sell altogether?
- He sold 50% of his pencils. 75% of the pencils left unsold were black. How many purple pencils did Rael have at first?
| |
Black |
Purple |
Total |
Total in percent |
| Before |
10.5 u |
9.5 u |
20 u |
100% |
| Change |
- 30%
- 3 u |
- 70%
- 7 u |
- 100%
- 10 u |
- 50% |
| After |
75%
7.5 u |
25%
2.5 u |
100%
10 u |
50%
|
70% =
70100 =
710 Total number of pencils sold = 10 u
Number of purple pencils sold = 7 u
Number of black pencils sold
= 10 u - 7 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of pencils sold
= 10 u
= 10 x 10
= 100
(b)
Percent of the pencils left unsold = 100% - 50% = 50% 50% of the pencils that were sold = 10 u 50% of the pencils that were left unsold = 10 u Percent of the pencils left unsold that were black = 75%
Percent of the pencils left unsold that were purple = 100% - 75% = 25%
Number of the pencils left unsold that were purple
= 25% x 10 u
=
25100 x 10 u
= 2.5 u
Number of purple pencils that Rael had at first
= 2.5 u + 7 u
= 9.5 u
= 9.5 x 10
= 95
Answer(s): (a) 100; (b) 95
