Pamela, Dana, Tom and Ivory shared some buttons. Pamela and Dana took
15 of the total number of buttons while Tom and Ivory took the rest. Dana had thrice as many buttons as Pamela and Ivory had 36 buttons. Given that Ivory had twice as many buttons as Dana, how many buttons were there altogether?
Pamela |
Dana |
Tom |
Ivory |
Total |
1x4 |
4x4 |
5x4 |
1 |
3 |
|
|
|
|
1x3 |
|
2x3 |
|
1 u |
3 u |
10 u |
6 u |
20 u |
Number of buttons that Dana had is repeated. Make the number of buttons that Dana had the same. LCM of 3 and 1 is 3.
Number of buttons that Ivory had = 6 u
6 u = 36
1 u = 36 ÷ 6 = 6
Total number of buttons
= 20 u
= 20 x 6
= 120
Answer(s): 120