PSLE Roshel had a basket of white beads and pink beads in the ratio 18 : 7. She removed an equal number of white beads and pink beads from the basket. The ratio of the number of white beads and pink beads left in the basket became 5 : 1. What percentage of the beads were left in the basket?
|
White beads |
Pink beads |
Difference |
Total |
Before |
18x4 = 72 u |
7x4 = 28 u |
11x4 = 44 u |
25x4 = 100 u |
Change |
- 17 u |
- 17 u |
|
|
After |
5x11 = 55 u |
1x11 = 11 u |
4x11 = 44 u |
6x11 = 66 u |
When Roshel removed an equal number of white beads and pink beads, the difference between the number of white beads and pink beads at first and in the end remains the same.
LCM of 11 and 4 is 44.
Percentage of the beads left in the basket
=
66100 x 100%
= 3350 x 100%
= 66%
Answer: 66%