Sabrina has a bag containing some pink and red beads. If she removes 3 pink beads, 20% of the beads in the bag are red. If she removes another 60 red beads, 10% of the beads in the bag are red. How many pink beads are in the bag?
| |
Pink beads |
Red beads |
| Before |
36 u + 3 |
9 u |
| Change 1 |
- 3 |
|
| After 1 |
4x9 =
36 u |
1x9 =
9 u |
| Change 2 |
|
- 60 |
| After 2 |
9x4 =
36 u |
1x4 =
4 u |
20% =
20100 =
1510% =
10100 =
110The number of pink beads remains unchanged at the second change when she removes another 60 red beads. Make the number of pink beads the same at the second change. LCM of 4 and 9 is 36.
Number of red beads removed
= 9 u - 4 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Number of pink beads at first
= 36 u + 3
= 36 x 12 + 3
= 432 + 3
= 435
Answer(s): 435
