John and Valen had 69 tarts altogether. After John ate
16 of his tarts and Valen ate 7 tarts, the number of tarts Valen had left was five times the number of tarts John had left. How many more tarts did Valen have than John at first?
| |
John |
Valen |
Total |
| Before |
6 u |
25 u + 7 |
69 |
| Change |
- 1 u |
- 7 |
|
| After |
5 u |
|
|
Comparing John and
Valen in the end |
1x5 =
5 u |
5x5 =
25 u |
|
The number of tarts that John had in the end is the same. Make the number of tarts that John had in the end the same. LCM of 5 and 1 is 5.
Total number of tarts at first
= 6 u + 25 u + 7
= 31 u + 7
31 u + 7 = 69
31 u = 69 - 7
31 u = 62
1 u = 62 ÷ 31 = 2
Number of tarts that John had at first
= 6 u
= 6 x 2
= 12
Number of tarts that Valen had at first
= 69 - 12
= 57
Number of tarts that Valen had more than John at first
= 57 - 12
= 45
Answer(s): 45
