Barbara has a bag containing some pink and blue beads. If she removes 10 pink beads, 40% of the beads in the bag are blue. If she removes another 35 blue beads, 30% of the beads in the bag are blue. How many pink beads are in the bag?
| |
Pink beads |
Blue beads |
| Before |
21 u + 10 |
14 u |
| Change 1 |
- 10 |
|
| After 1 |
3x7 =
21 u |
2x7 =
14 u |
| Change 2 |
|
- 35 |
| After 2 |
7x3 =
21 u |
3x3 =
9 u |
40% =
40100 =
2530% =
30100 =
310The number of pink beads remains unchanged at the second change when she removes another 35 blue beads. Make the number of pink beads the same at the second change. LCM of 3 and 7 is 21.
Number of blue beads removed
= 14 u - 9 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of pink beads at first
= 21 u + 10
= 21 x 7 + 10
= 147 + 10
= 157
Answer(s): 157
