Rachel has a bag containing some silver and green beads. If she removes 12 silver beads, 40% of the beads in the bag are green. If she removes another 45 green beads, 10% of the beads in the bag are green. How many silver beads are in the bag?
| |
Silver beads |
Green beads |
| Before |
9 u + 12 |
6 u |
| Change 1 |
- 12 |
|
| After 1 |
3x3 =
9 u |
2x3 =
6 u |
| Change 2 |
|
- 45 |
| After 2 |
9x1 =
9 u |
1x1 =
1 u |
40% =
40100 =
2510% =
10100 =
110The number of silver beads remains unchanged at the second change when she removes another 45 green beads. Make the number of silver beads the same at the second change. LCM of 3 and 9 is 9.
Number of green beads removed
= 6 u - 1 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Number of silver beads at first
= 9 u + 12
= 9 x 9 + 12
= 81 + 12
= 93
Answer(s): 93
