Last Thursday, Zane had thrice as many cards as Ben. Today, Zane gives 96 of his cards to his neighbour. Now, Ben has thrice as many cards as Zane. How many cards does Ben have?
| |
Zane |
Ben |
| Before |
3x3 =
9 u |
1x3 =
3 u |
| Change |
- 96 |
|
| After |
1 u |
3 u |
The number of cards that Ben had at first and in the end remains unchanged. Make the number of cards that Ben has the same. LCM of 1 and 3 is 3.
Number of cards that Zane gives to his neighbour
= 9 u - 1 u
= 8 u
8 u = 96
1 u = 96 ÷ 8 = 12
Number of cards that Ben has
= 3 u
= 3 x 12
= 36
Answer(s): 36
