PSLE Shiyun had a basket of pink beads and green beads in the ratio 13 : 7. She removed an equal number of pink beads and green beads from the basket. The ratio of the number of pink beads and green beads left in the basket became 5 : 1. What percentage of the beads were left in the basket?
|
Pink beads |
Green beads |
Difference |
Total |
Before |
13x2 = 26 u |
7x2 = 14 u |
6x2 = 12 u |
20x2 = 40 u |
Change |
- 11 u |
- 11 u |
|
|
After |
5x3 = 15 u |
1x3 = 3 u |
4x3 = 12 u |
6x3 = 18 u |
When Shiyun removed an equal number of pink beads and green beads, the difference between the number of pink beads and green beads at first and in the end remains the same.
LCM of 6 and 4 is 12.
Percentage of the beads left in the basket
=
1840 x 100%
= 920 x 100%
= 45%
Answer: 45%