Tiffany, Risa, Luke and Xuan shared some buttons. Tiffany and Risa took
15 of the total number of buttons while Luke and Xuan took the rest. Risa had thrice as many buttons as Tiffany and Xuan had 60 buttons. Given that Xuan had four times as many buttons as Risa, how many buttons were there altogether?
| Tiffany |
Risa |
Luke |
Xuan |
Total |
| 1x4 |
4x4 |
5x4 |
| 1 |
3 |
|
|
|
| |
1x3 |
|
4x3 |
|
| 1 u |
3 u |
4 u |
12 u |
20 u |
Number of buttons that Risa had is repeated. Make the number of buttons that Risa had the same. LCM of 3 and 1 is 3.
Number of buttons that Xuan had = 12 u
12 u = 60
1 u = 60 ÷ 12 = 5
Total number of buttons
= 20 u
= 20 x 5
= 100
Answer(s): 100
