Billy, Flynn and Justin shared a bag of erasers. Flynn took 27 as many erasers as Justin. Billy took twice as many erasers as the total Flynn and Justin took. After Billy had given 52 to Flynn and 11 to Justin, Flynn gave 3 to Justin. In the end, all three of them had the same number of erasers. Find the difference between the number of erasers that Billy and Flynn had at first.
| |
Flynn |
Justin |
Billy |
Total |
| Before |
2 u |
7 u |
18 u |
27 u |
| Change 1 |
+ 52 |
|
- 52 |
|
| Change 2 |
|
+ 11 |
- 11 |
|
| Change 3 |
- 3 |
+ 3 |
|
|
| After |
1x9 =
9 u |
1x9 =
9 u |
1x9 =
9 u |
3x9 =
27 u |
Total number of erasers that Flynn and Justin had at first
= 2 u + 7 u
= 9 u
Number of erasers that Billy had at first
= 2 x 9 u
= 18 u
The total number of erasers remains unchanged. Make the total number of erasers the same. LCM of 3 and 27 is 27.
Number of erasers that Justin received from Flynn and Billy
= 9 u - 7 u
= 2 u
2 u = 11 + 3
2 u = 14
1 u = 14 ÷ 2 = 7
Difference between the number erasers that Billy and Flynn had at first
= 18 u - 2 u
= 16 u
= 16 x 7
= 112
Answer(s): 112
