Elyse has a bag containing some purple and black stickers. If she removes 11 purple stickers, 25% of the stickers in the bag are black. If she removes another 24 black stickers, 10% of the stickers in the bag are black. How many purple stickers are in the bag?
| |
Purple stickers |
Black stickers |
| Before |
9 u + 11 |
3 u |
| Change 1 |
- 11 |
|
| After 1 |
3x3 =
9 u |
1x3 =
3 u |
| Change 2 |
|
- 24 |
| After 2 |
9x1 =
9 u |
1x1 =
1 u |
25% =
25100 =
1410% =
10100 =
110The number of purple stickers remains unchanged at the second change when she removes another 24 black stickers. Make the number of purple stickers the same at the second change. LCM of 3 and 9 is 9.
Number of black stickers removed
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of purple stickers at first
= 9 u + 11
= 9 x 12 + 11
= 108 + 11
= 119
Answer(s): 119
