PSLE Victoria had a basket of red beads and green beads in the ratio 17 : 8. She removed an equal number of red beads and green beads from the basket. The ratio of the number of red beads and green beads left in the basket became 7 : 1. What percentage of the beads were left in the basket?
|
Red beads |
Green beads |
Difference |
Total |
Before |
17x2 = 34 u |
8x2 = 16 u |
9x2 = 18 u |
25x2 = 50 u |
Change |
- 13 u |
- 13 u |
|
|
After |
7x3 = 21 u |
1x3 = 3 u |
6x3 = 18 u |
8x3 = 24 u |
When Victoria removed an equal number of red beads and green beads, the difference between the number of red beads and green beads at first and in the end remains the same.
LCM of 9 and 6 is 18.
Percentage of the beads left in the basket
=
2450 x 100%
= 1225 x 100%
= 48%
Answer: 48%