Shiyun, Cindy, Luke and Joelle shared some buttons. Shiyun and Cindy took
16 of the total number of buttons while Luke and Joelle took the rest. Cindy had thrice as many buttons as Shiyun and Joelle had 108 buttons. Given that Joelle had four times as many buttons as Cindy, how many buttons were there altogether?
Shiyun |
Cindy |
Luke |
Joelle |
Total |
1x4 |
5x4 |
6x4 |
1 |
3 |
|
|
|
|
1x3 |
|
4x3 |
|
1 u |
3 u |
8 u |
12 u |
24 u |
Number of buttons that Cindy had is repeated. Make the number of buttons that Cindy had the same. LCM of 3 and 1 is 3.
Number of buttons that Joelle had = 12 u
12 u = 108
1 u = 108 ÷ 12 = 9
Total number of buttons
= 24 u
= 24 x 9
= 216
Answer(s): 216