PSLE Victoria had a box of green beads and red beads in the ratio 17 : 8. She removed an equal number of green beads and red beads from the box. The ratio of the number of green beads and red beads left in the box became 7 : 1. What percentage of the beads were left in the box?
|
Green beads |
Red 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 green beads and red beads, the difference between the number of green beads and red beads at first and in the end remains the same.
LCM of 9 and 6 is 18.
Percentage of the beads left in the box
=
2450 x 100%
= 1225 x 100%
= 48%
Answer: 48%