Opal, Linda, Ian and Shannon shared some cards. Opal and Linda took
14 of the total number of cards while Ian and Shannon took the rest. Linda had thrice as many cards as Opal and Shannon had 72 cards. Given that Shannon had thrice as many cards as Linda, how many cards were there altogether?
| Opal |
Linda |
Ian |
Shannon |
Total |
| 1x4 |
3x4 |
4x4 |
| 1 |
3 |
|
|
|
| |
1x3 |
|
3x3 |
|
| 1 u |
3 u |
3 u |
9 u |
16 u |
Number of cards that Linda had is repeated. Make the number of cards that Linda had the same. LCM of 3 and 1 is 3.
Number of cards that Shannon had = 9 u
9 u = 72
1 u = 72 ÷ 9 = 8
Total number of cards
= 16 u
= 16 x 8
= 128
Answer(s): 128
