Jenson, Ben and Flynn shared a bag of cards. Ben took 35 as many cards as Flynn. Jenson took twice as many cards as the total Ben and Flynn took. After Jenson had given 43 to Ben and 21 to Flynn, Ben gave 3 to Flynn. In the end, all three of them had the same number of cards. Find the difference between the number of cards that Jenson and Ben had at first.
| |
Ben |
Flynn |
Jenson |
Total |
| Before |
3 u |
5 u |
16 u |
24 u |
| Change 1 |
+ 43 |
|
- 43 |
|
| Change 2 |
|
+ 21 |
- 21 |
|
| Change 3 |
- 3 |
+ 3 |
|
|
| After |
1x8 =
8 u |
1x8 =
8 u |
1x8 =
8 u |
3x8 =
24 u |
Total number of cards that Ben and Flynn had at first
= 3 u + 5 u
= 8 u
Number of cards that Jenson had at first
= 2 x 8 u
= 16 u
The total number of cards remains unchanged. Make the total number of cards the same. LCM of 3 and 24 is 24.
Number of cards that Flynn received from Ben and Jenson
= 8 u - 5 u
= 3 u
3 u = 21 + 3
3 u = 24
1 u = 24 ÷ 3 = 8
Difference between the number cards that Jenson and Ben had at first
= 16 u - 3 u
= 13 u
= 13 x 8
= 104
Answer(s): 104
