Marion has a bag containing some pink and blue beads. If she adds in 18 pink beads, 10% of the beads in the bag are blue. If she adds in another 60 blue beads, 40% of the beads in the bag are blue. How many pink beads are in the bag?
| |
Pink beads |
Blue beads |
| Before |
9 u - 18 |
1 u |
| Change 1 |
+ 18 |
|
| After 1 |
9x1 =
9 u |
1x1 =
1 u |
| Change 2 |
|
+ 60 |
| After 2 |
3x3 =
9 u |
2x3 =
6 u |
10% =
10100 =
11040% =
40100 =
25The number of pink beads remains unchanged at the second change when she adds in another 60 blue beads. Make the number of pink beads the same at the second change. LCM of 9 and 3 is 9.
Number of blue beads added
= 6 u - 1 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Number of pink beads at first
= 9 u - 18
= 9 x 12 - 18
= 108 - 18
= 90
Answer(s): 90
