Dana has a bag containing some orange and pink beads. If she removes 18 orange beads, 20% of the beads in the bag are pink. If she adds another 55 pink beads, 60% of the beads in the bag are pink. How many orange beads are in the bag?
| |
Orange beads |
Pink beads |
| Before |
4 u + 18 |
1 u |
| Change 1 |
- 18 |
|
| After 1 |
4x1 =
4 u |
1x1 =
1 u |
| Change 2 |
|
+ 55 |
| After 2 |
2x2 =
4 u |
3x2 =
6 u |
20% =
20100 =
1560% =
60100 =
35The number of orange beads remains unchanged at the second change when she adds another 55 pink beads. Make the number of orange beads the same at the second change. LCM of 4 and 2 is 4.
Number of pink beads added
= 6 u - 1 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Number of orange beads at first
= 4 u + 18
= 4 x 11 + 18
= 44 + 18
= 62
Answer(s): 62
