Glen, Flynn and Clark collected buttons in the ratio of 9 : 8 : 9. After Clark gave
35 to Glen and Flynn, Clark had 136 less buttons than Glen. The number of buttons that Flynn had increased by 50%. How many buttons did Glen and Clark have in the end?
|
Glen |
Flynn |
Clark |
Before |
9 u |
8 u |
9 u |
Change |
+ 1.4 u |
+ 4 u |
- 5.4 u |
After |
10.4 u |
12 u |
3.6 u |
Number of buttons that Clark gave to Glen and Flynn
=
35 x 9 u
= 5.4 u
Number of buttons that Flynn received from Clark
=
50100 x 8 u
= 4 u
Number of buttons that Glen received from Clark
= 5.4 u - 4 u
= 1.4 u
Number of less buttons that Clark had less than Glen
= 10.4 u - 3.6 u
= 6.8 u
6.8 u = 136
1 u = 136 ÷ 6.8 = 20
Number of buttons that Glen and Clark had
= 10.4 u + 3.6 u
= 14 u
= 14 x 20
= 280
Answer(s): 280