Nicole has a bag containing some blue and gold stickers. If she removes 11 blue stickers, 10% of the stickers in the bag are gold. If she adds another 35 gold stickers, 20% of the stickers in the bag are gold. How many blue stickers are in the bag?
| |
Blue stickers |
Gold stickers |
| Before |
36 u + 11 |
4 u |
| Change 1 |
- 11 |
|
| After 1 |
9x4 =
36 u |
1x4 =
4 u |
| Change 2 |
|
+ 35 |
| After 2 |
4x9 =
36 u |
1x9 =
9 u |
10% =
10100 =
11020% =
20100 =
15The number of blue stickers remains unchanged at the second change when she adds another 35 gold stickers. Make the number of blue stickers the same at the second change. LCM of 9 and 4 is 36.
Number of gold stickers added
= 9 u - 4 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of blue stickers at first
= 36 u + 11
= 36 x 7 + 11
= 252 + 11
= 263
Answer(s): 263
