Zoe, Gillian, Eric and Diana shared some buttons. Zoe and Gillian took
13 of the total number of buttons while Eric and Diana took the rest. Gillian had twice as many buttons as Zoe and Diana had 44 buttons. Given that Diana had twice as many buttons as Gillian, how many buttons were there altogether?
Zoe |
Gillian |
Eric |
Diana |
Total |
1x3 |
2x3 |
3x3 |
1 |
2 |
|
|
|
|
1x2 |
|
2x2 |
|
1 u |
2 u |
2 u |
4 u |
9 u |
Number of buttons that Gillian had is repeated. Make the number of buttons that Gillian had the same. LCM of 2 and 1 is 2.
Number of buttons that Diana had = 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
Total number of buttons
= 9 u
= 9 x 11
= 99
Answer(s): 99