Sam, Ben and Jenson shared a bag of stamps. Ben took 27 as many stamps as Jenson. Sam took thrice as many stamps as the total Ben and Jenson took. After Sam had given 87 to Ben and 33 to Jenson, Ben gave 7 to Jenson. In the end, all three of them had the same number of stamps. Find the difference between the number of stamps that Sam and Ben had at first.
| |
Ben |
Jenson |
Sam |
Total |
| Before |
2 u |
7 u |
27 u |
36 u |
| Change 1 |
+ 87 |
|
- 87 |
|
| Change 2 |
|
+ 33 |
- 33 |
|
| Change 3 |
- 7 |
+ 7 |
|
|
| After |
1x12 =
12 u |
1x12 =
12 u |
1x12 =
12 u |
3x12 =
36 u |
Total number of stamps that Ben and Jenson had at first
= 2 u + 7 u
= 12 u
Number of stamps that Sam had at first
= 3 x 12 u
= 27 u
The total number of stamps remains unchanged. Make the total number of stamps the same. LCM of 3 and 36 is 36.
Number of stamps that Jenson received from Ben and Sam
= 12 u - 7 u
= 5 u
5 u = 33 + 7
5 u = 40
1 u = 40 ÷ 5 = 8
Difference between the number stamps that Sam and Ben had at first
= 27 u - 2 u
= 25 u
= 25 x 8
= 200
Answer(s): 200
