Gem, Olivia, Riordan and Usha shared some cards. Gem and Olivia took
14 of the total number of cards while Riordan and Usha took the rest. Olivia had thrice as many cards as Gem and Usha had 42 cards. Given that Usha had twice as many cards as Olivia, how many cards were there altogether?
| Gem |
Olivia |
Riordan |
Usha |
Total |
| 1x4 |
3x4 |
4x4 |
| 1 |
3 |
|
|
|
| |
1x3 |
|
2x3 |
|
| 1 u |
3 u |
6 u |
6 u |
16 u |
Number of cards that Olivia had is repeated. Make the number of cards that Olivia had the same. LCM of 3 and 1 is 3.
Number of cards that Usha had = 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Total number of cards
= 16 u
= 16 x 7
= 112
Answer(s): 112
