Mark and Fred had 31 tarts altogether. After Mark ate
13 of his tarts and Fred ate 5 tarts, the number of tarts Fred had left was five times the number of tarts Mark had left. How many more tarts did Fred have than Mark at first?
| |
Mark |
Fred |
Total |
| Before |
3 u |
10 u + 5 |
31 |
| Change |
- 1 u |
- 5 |
|
| After |
2 u |
|
|
Comparing Mark and
Fred in the end |
1x2 =
2 u |
5x2 =
10 u |
|
The number of tarts that Mark had in the end is the same. Make the number of tarts that Mark had in the end the same. LCM of 2 and 1 is 2.
Total number of tarts at first
= 3 u + 10 u + 5
= 13 u + 5
13 u + 5 = 31
13 u = 31 - 5
13 u = 26
1 u = 26 ÷ 13 = 2
Number of tarts that Mark had at first
= 3 u
= 3 x 2
= 6
Number of tarts that Fred had at first
= 31 - 6
= 25
Number of tarts that Fred had more than Mark at first
= 25 - 6
= 19
Answer(s): 19
