PSLE Tim had yellow files and black files for sale. He sold 350 yellow files. 30% of the files sold were black.
- How many yellow files and black files did Tim sell altogether?
- He sold 50% of his files. 70% of the files left unsold were yellow. How many black files did Tim have at first?
| |
Yellow |
Black |
Total |
Total in percent |
| Before |
14 u |
6 u |
20 u |
100% |
| Change |
- 70%
- 7 u |
- 30%
- 3 u |
- 100%
- 10 u |
- 50% |
| After |
70%
7 u |
30%
3 u |
100%
10 u |
50%
|
30% =
30100 =
310 Total number of files sold = 10 u
Number of black files sold = 3 u
Number of yellow files sold
= 10 u - 3 u
= 7 u
7 u = 350
1 u = 350 ÷ 7 = 50
Total number of files sold
= 10 u
= 10 x 50
= 500
(b)
Percent of the files left unsold = 100% - 50% = 50% 50% of the files that were sold = 10 u 50% of the files that were left unsold = 10 u Percent of the files left unsold that were yellow = 70%
Percent of the files left unsold that were black = 100% - 70% = 30%
Number of the files left unsold that were black
= 30% x 10 u
=
30100 x 10 u
= 3 u
Number of black files that Tim had at first
= 3 u + 3 u
= 6 u
= 6 x 50
= 300
Answer(s): (a) 500; (b) 300
