Irene has a bag containing some yellow and silver beads. If she removes 6 yellow beads, 40% of the beads in the bag are silver. If she removes another 10 silver beads, 10% of the beads in the bag are silver. How many yellow beads are in the bag?
| |
Yellow beads |
Silver beads |
| Before |
9 u + 6 |
6 u |
| Change 1 |
- 6 |
|
| After 1 |
3x3 =
9 u |
2x3 =
6 u |
| Change 2 |
|
- 10 |
| After 2 |
9x1 =
9 u |
1x1 =
1 u |
40% =
40100 =
2510% =
10100 =
110The number of yellow beads remains unchanged at the second change when she removes another 10 silver beads. Make the number of yellow beads the same at the second change. LCM of 3 and 9 is 9.
Number of silver beads removed
= 6 u - 1 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of yellow beads at first
= 9 u + 6
= 9 x 2 + 6
= 18 + 6
= 24
Answer(s): 24
