PSLE Elyse had a basket of pink beads and yellow beads in the ratio 16 : 9. She removed an equal number of pink beads and yellow beads from the basket. The ratio of the number of pink beads and yellow beads left in the basket became 10 : 3. What percentage of the beads were left in the basket?
|
Pink beads |
Yellow beads |
Difference |
Total |
Before |
16x1 = 16 u |
9x1 = 9 u |
7x1 = 7 u |
25x1 = 25 u |
Change |
- 6 u |
- 6 u |
|
|
After |
10x1 = 10 u |
3x1 = 3 u |
7x1 = 7 u |
13x1 = 13 u |
When Elyse removed an equal number of pink beads and yellow beads, the difference between the number of pink beads and yellow beads at first and in the end remains the same.
LCM of 7 and 7 is 7.
Percentage of the beads left in the basket
=
1325 x 100%
= 1325 x 100%
= 52%
Answer: 52%