PSLE Irene had a basket of yellow beads and pink beads in the ratio 17 : 7. She removed an equal number of yellow beads and pink beads from the basket. The ratio of the number of yellow beads and pink beads left in the basket became 7 : 2. What percentage of the beads were left in the basket?
|
Yellow beads |
Pink beads |
Difference |
Total |
Before |
17x1 = 17 u |
7x1 = 7 u |
10x1 = 10 u |
24x1 = 24 u |
Change |
- 3 u |
- 3 u |
|
|
After |
7x2 = 14 u |
2x2 = 4 u |
5x2 = 10 u |
9x2 = 18 u |
When Irene removed an equal number of yellow beads and pink beads, the difference between the number of yellow beads and pink beads at first and in the end remains the same.
LCM of 10 and 5 is 10.
Percentage of the beads left in the basket
=
1824 x 100%
= 34 x 100%
= 75%
Answer: 75%