PSLE Owen had silver markers and black markers for sale. He sold 150 silver markers. 70% of the markers sold were black.
- How many silver markers and black markers did Owen sell altogether?
- He sold 50% of his markers. 75% of the markers left unsold were silver. How many black markers did Owen have at first?
| |
Silver |
Black |
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 markers sold = 10 u
Number of black markers sold = 7 u
Number of silver markers sold
= 10 u - 7 u
= 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
Total number of markers sold
= 10 u
= 10 x 50
= 500
(b)
Percent of the markers left unsold = 100% - 50% = 50% 50% of the markers that were sold = 10 u 50% of the markers that were left unsold = 10 u Percent of the markers left unsold that were silver = 75%
Percent of the markers left unsold that were black = 100% - 75% = 25%
Number of the markers left unsold that were black
= 25% x 10 u
=
25100 x 10 u
= 2.5 u
Number of black markers that Owen had at first
= 2.5 u + 7 u
= 9.5 u
= 9.5 x 50
= 475
Answer(s): (a) 500; (b) 475
