Lynn has a bag containing some orange and purple buttons. If she adds in 8 orange buttons, 10% of the buttons in the bag are purple. If she adds in another 35 purple buttons, 40% of the buttons in the bag are purple. How many orange buttons are in the bag?
| |
Orange buttons |
Purple buttons |
| Before |
9 u - 8 |
1 u |
| Change 1 |
+ 8 |
|
| After 1 |
9x1 =
9 u |
1x1 =
1 u |
| Change 2 |
|
+ 35 |
| After 2 |
3x3 =
9 u |
2x3 =
6 u |
10% =
10100 =
11040% =
40100 =
25The number of orange buttons remains unchanged at the second change when she adds in another 35 purple buttons. Make the number of orange buttons the same at the second change. LCM of 9 and 3 is 9.
Number of purple buttons added
= 6 u - 1 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of orange buttons at first
= 9 u - 8
= 9 x 7 - 8
= 63 - 8
= 55
Answer(s): 55
