Shannon has a bag containing some orange and pink buttons. If she removes 6 orange buttons, 40% of the buttons in the bag are pink. If she removes another 30 pink buttons, 10% of the buttons in the bag are pink. How many orange buttons are in the bag?
| |
Orange buttons |
Pink buttons |
| Before |
9 u + 6 |
6 u |
| Change 1 |
- 6 |
|
| After 1 |
3x3 =
9 u |
2x3 =
6 u |
| Change 2 |
|
- 30 |
| After 2 |
9x1 =
9 u |
1x1 =
1 u |
40% =
40100 =
2510% =
10100 =
110The number of orange buttons remains unchanged at the second change when she removes another 30 pink buttons. Make the number of orange buttons the same at the second change. LCM of 3 and 9 is 9.
Number of pink buttons removed
= 6 u - 1 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of orange buttons at first
= 9 u + 6
= 9 x 6 + 6
= 54 + 6
= 60
Answer(s): 60
