Japheth and Ahmad had 35 tarts altogether. After Japheth ate
16 of his tarts and Ahmad ate 3 tarts, the number of tarts Ahmad had left was twice the number of tarts Japheth had left. How many more tarts did Ahmad have than Japheth at first?
|
Japheth |
Ahmad |
Total |
Before |
6 u |
10 u + 3 |
35 |
Change |
- 1 u |
- 3 |
|
After |
5 u |
|
|
Comparing Japheth and Ahmad in the end |
1x5 = 5 u |
2x5 = 10 u |
|
The number of tarts that Japheth had in the end is the same. Make the number of tarts that Japheth had in the end the same. LCM of 5 and 1 is 5.
Total number of tarts at first
= 6 u + 10 u + 3
= 16 u + 3
16 u + 3 = 35
16 u = 35 - 3
16 u = 32
1 u = 32 ÷ 16 = 2
Number of tarts that Japheth had at first
= 6 u
= 6 x 2
= 12
Number of tarts that Ahmad had at first
= 35 - 12
= 23
Number of tarts that Ahmad had more than Japheth at first
= 23 - 12
= 11
Answer(s): 11