Xuan has 3 times as many cards as Rachel. Rachel has
27 as many cards as Olivia. If the three of them have a total of 150 cards, how many cards does Xuan have?
| Xuan |
Rachel |
Olivia |
| 3x2 |
1x2 |
|
| |
2x1 |
7x1 |
| 6 u |
2 u |
7 u |
The number of cards that Rachel has is repeated. Make the number of cards that Rachel has the same. LCM of 1 and 2 is 2.
Total number of cards that the three of them have
= 6 u + 2 u + 7 u
= 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Number of cards that Xuan has
= 6 u
= 6 x 10
= 60
Answer(s): 60
