PSLE Rael had blue pencils and yellow pencils for sale. He sold 180 blue pencils. 70% of the pencils sold were yellow.
- How many blue pencils and yellow pencils did Rael sell altogether?
- He sold 50% of his pencils. 60% of the pencils left unsold were blue. How many yellow pencils did Rael have at first?
|
Blue |
Yellow |
Total |
Total in percent |
Before |
9 u |
11 u |
20 u |
100% |
Change |
- 30% - 3 u |
- 70% - 7 u |
- 100% - 10 u |
- 50% |
After |
60% 6 u |
40% 4 u |
100% 10 u |
50%
|
70% =
70100 =
710 Total number of pencils sold = 10 u
Number of yellow pencils sold = 7 u
Number of blue pencils sold
= 10 u - 7 u
= 3 u
3 u = 180
1 u = 180 ÷ 3 = 60
Total number of pencils sold
= 10 u
= 10 x 60
= 600
(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 blue = 60%
Percent of the pencils left unsold that were yellow = 100% - 60% = 40%
Number of the pencils left unsold that were yellow
= 40% x 10 u
=
40100 x 10 u
= 4 u
Number of yellow pencils that Rael had at first
= 4 u + 7 u
= 11 u
= 11 x 60
= 660
Answer(s): (a) 600; (b) 660