Gwen has a bag containing some yellow and green stickers. If she adds in 5 yellow stickers, 30% of the stickers in the bag are green. If she adds in another 165 green stickers, 60% of the stickers in the bag are green. How many yellow stickers are in the bag?
| |
Yellow stickers |
Green stickers |
| Before |
14 u - 5 |
6 u |
| Change 1 |
+ 5 |
|
| After 1 |
7x2 =
14 u |
3x2 =
6 u |
| Change 2 |
|
+ 165 |
| After 2 |
2x7 =
14 u |
3x7 =
21 u |
30% =
30100 =
31060% =
60100 =
35The number of yellow stickers remains unchanged at the second change when she adds in another 165 green stickers. Make the number of yellow stickers the same at the second change. LCM of 7 and 2 is 14.
Number of green stickers added
= 21 u - 6 u
= 15 u
15 u = 165
1 u = 165 ÷ 15 = 11
Number of yellow stickers at first
= 14 u - 5
= 14 x 11 - 5
= 154 - 5
= 149
Answer(s): 149
