Cathy, Dana, Harry and Xandra shared some cards. Cathy and Dana took
15 of the total number of cards while Harry and Xandra took the rest. Dana had twice as many cards as Cathy and Xandra had 96 cards. Given that Xandra had four times as many cards as Dana, how many cards were there altogether?
Cathy |
Dana |
Harry |
Xandra |
Total |
1x3 |
4x3 |
5x3 |
1 |
2 |
|
|
|
|
1x2 |
|
4x2 |
|
1 u |
2 u |
4 u |
8 u |
15 u |
Number of cards that Dana had is repeated. Make the number of cards that Dana had the same. LCM of 2 and 1 is 2.
Number of cards that Xandra had = 8 u
8 u = 96
1 u = 96 ÷ 8 = 12
Total number of cards
= 15 u
= 15 x 12
= 180
Answer(s): 180