Caden, Fabian and Flynn had 198 buttons. After Caden used 28 buttons and Fabian used
58 of her buttons, Caden had twice as many buttons left as Fabian. Flynn bought another 37 buttons, he had thrice the number of buttons Fabian had left. How many buttons did Flynn have at first?
| |
Caden |
Fabian |
Flynn |
Total |
| Before |
6 u + 28 |
8 u |
9 u - 37 |
198 |
| Change |
- 28 |
- 5 u |
+ 37 |
|
| After |
6 u |
3 u |
9 u |
|
Comparing Caden
and Fabian in the end |
2 |
1 |
|
|
Comparing Flynn
and Fabian in the end |
|
1 |
3 |
|
Number of buttons that Caden had in the end
= 2 x 3 u
= 6 u
Number of buttons that Flynn had in the end
= 3 x 3 u
= 9 u
Total number of buttons at first
= 6 u + 28 + 8 u + 9 u - 37
= 23 u - 9
23 u - 9 = 198
23 u = 198 + 9
23 u = 207
1 u = 207 ÷ 23 = 9
Number of buttons that Flynn had at first
= 9 u - 37
= 9 x 9 - 37
= 81 - 37
= 44
Answer(s): 44
