The ratio of the number of blue buttons to green buttons is 9 : 4. After Dylan gives away 10 blue buttons and buys another 50 green buttons, there is equal number of blue buttons and green buttons. How many buttons does Dylan have now?
| |
Blue |
Green |
| Before |
9 u |
4 u |
| Change |
- 10 |
+ 50 |
| After |
9 u - 10 |
4 u + 50 |
The number of blue buttons and green buttons in the end is the same.
9 u - 10 = 4 u + 50
9 u - 4 u = 50 + 10
5 u = 60
1 u = 60 ÷ 5 = 12
Number of buttons that Dylan has now
= 9 u - 10 + 4 u + 50
= 9 u + 4 u - 10 + 50
= 13 u + 40
= 13 x 12 + 40
= 156 + 40
= 196
Answer(s): 196
