PSLE Tim had red pencils and gold pencils for sale. He sold 120 red pencils. 60% of the pencils sold were gold.
- How many red pencils and gold pencils did Tim sell altogether?
- He sold 50% of his pencils. 70% of the pencils left unsold were red. How many gold pencils did Tim have at first?
| |
Red |
Gold |
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 pencils sold = 5 u
Number of gold pencils sold = 3 u
Number of red pencils sold
= 5 u - 3 u
= 2 u
2 u = 120
1 u = 120 ÷ 2 = 60
Total number of pencils sold
= 5 u
= 5 x 60
= 300
(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 red = 70%
Percent of the pencils left unsold that were gold = 100% - 70% = 30%
Number of the pencils left unsold that were gold
= 30% x 5 u
=
30100 x 5 u
= 1.5 u
Number of gold pencils that Tim had at first
= 1.5 u + 3 u
= 4.5 u
= 4.5 x 60
= 270
Answer(s): (a) 300; (b) 270
