Harry, Japheth and Caden shared a bag of erasers. Japheth took 27 as many erasers as Caden. Harry took thrice as many erasers as the total Japheth and Caden took. After Harry had given 79 to Japheth and 26 to Caden, Japheth gave 9 to Caden. In the end, all three of them had the same number of erasers. Find the difference between the number of erasers that Harry and Japheth had at first.
| |
Japheth |
Caden |
Harry |
Total |
| Before |
2 u |
7 u |
27 u |
36 u |
| Change 1 |
+ 79 |
|
- 79 |
|
| Change 2 |
|
+ 26 |
- 26 |
|
| Change 3 |
- 9 |
+ 9 |
|
|
| After |
1x12 =
12 u |
1x12 =
12 u |
1x12 =
12 u |
3x12 =
36 u |
Total number of erasers that Japheth and Caden had at first
= 2 u + 7 u
= 12 u
Number of erasers that Harry had at first
= 3 x 12 u
= 27 u
The total number of erasers remains unchanged. Make the total number of erasers the same. LCM of 3 and 36 is 36.
Number of erasers that Caden received from Japheth and Harry
= 12 u - 7 u
= 5 u
5 u = 26 + 9
5 u = 35
1 u = 35 ÷ 5 = 7
Difference between the number erasers that Harry and Japheth had at first
= 27 u - 2 u
= 25 u
= 25 x 7
= 175
Answer(s): 175
