Jenson, Ben and Ivan shared a bag of stamps. Ben took 27 as many stamps as Ivan. Jenson took thrice as many stamps as the total Ben and Ivan took. After Jenson had given 57 to Ben and 18 to Ivan, Ben gave 7 to Ivan. In the end, all three of them had the same number of stamps. Find the difference between the number of stamps that Jenson and Ben had at first.
| |
Ben |
Ivan |
Jenson |
Total |
| Before |
2 u |
7 u |
27 u |
36 u |
| Change 1 |
+ 57 |
|
- 57 |
|
| Change 2 |
|
+ 18 |
- 18 |
|
| Change 3 |
- 7 |
+ 7 |
|
|
| After |
1x12 =
12 u |
1x12 =
12 u |
1x12 =
12 u |
3x12 =
36 u |
Total number of stamps that Ben and Ivan had at first
= 2 u + 7 u
= 12 u
Number of stamps that Jenson 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 Ivan received from Ben and Jenson
= 12 u - 7 u
= 5 u
5 u = 18 + 7
5 u = 25
1 u = 25 ÷ 5 = 5
Difference between the number stamps that Jenson and Ben had at first
= 27 u - 2 u
= 25 u
= 25 x 5
= 125
Answer(s): 125
