Emma has a bag containing some purple and orange buttons. If she removes 2 purple buttons, 30% of the buttons in the bag are orange. If she adds another 24 orange buttons, 50% of the buttons in the bag are orange. How many purple buttons are in the bag?
| |
Purple buttons |
Orange buttons |
| Before |
7 u + 2 |
3 u |
| Change 1 |
- 2 |
|
| After 1 |
7x1 =
7 u |
3x1 =
3 u |
| Change 2 |
|
+ 24 |
| After 2 |
1x7 =
7 u |
1x7 =
7 u |
30% =
30100 =
31050% =
50100 =
12The number of purple buttons remains unchanged at the second change when she adds another 24 orange buttons. Make the number of purple buttons the same at the second change. LCM of 7 and 1 is 7.
Number of orange buttons added
= 7 u - 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Number of purple buttons at first
= 7 u + 2
= 7 x 6 + 2
= 42 + 2
= 44
Answer(s): 44
