PSLE Ethan had black staplers and blue staplers for sale. He sold 210 black staplers. 70% of the staplers sold were blue.
- How many black staplers and blue staplers did Ethan sell altogether?
- He sold 50% of his staplers. 80% of the staplers left unsold were black. How many blue staplers did Ethan have at first?
|
Black |
Blue |
Total |
Total in percent |
Before |
11 u |
9 u |
20 u |
100% |
Change |
- 30% - 3 u |
- 70% - 7 u |
- 100% - 10 u |
- 50% |
After |
80% 8 u |
20% 2 u |
100% 10 u |
50%
|
70% =
70100 =
710 Total number of staplers sold = 10 u
Number of blue staplers sold = 7 u
Number of black staplers sold
= 10 u - 7 u
= 3 u
3 u = 210
1 u = 210 ÷ 3 = 70
Total number of staplers sold
= 10 u
= 10 x 70
= 700
(b)
Percent of the staplers left unsold = 100% - 50% = 50% 50% of the staplers that were sold = 10 u 50% of the staplers that were left unsold = 10 u Percent of the staplers left unsold that were black = 80%
Percent of the staplers left unsold that were blue = 100% - 80% = 20%
Number of the staplers left unsold that were blue
= 20% x 10 u
=
20100 x 10 u
= 2 u
Number of blue staplers that Ethan had at first
= 2 u + 7 u
= 9 u
= 9 x 70
= 630
Answer(s): (a) 700; (b) 630