Ivan and Glen had 44 tarts altogether. After Ivan ate
15 of his tarts and Glen ate 10 tarts, the number of tarts Glen had left was thrice the number of tarts Ivan had left. How many more tarts did Glen have than Ivan at first?
| |
Ivan |
Glen |
Total |
| Before |
5 u |
12 u + 10 |
44 |
| Change |
- 1 u |
- 10 |
|
| After |
4 u |
|
|
Comparing Ivan and
Glen in the end |
1x4 =
4 u |
3x4 =
12 u |
|
The number of tarts that Ivan had in the end is the same. Make the number of tarts that Ivan had in the end the same. LCM of 4 and 1 is 4.
Total number of tarts at first
= 5 u + 12 u + 10
= 17 u + 10
17 u + 10 = 44
17 u = 44 - 10
17 u = 34
1 u = 34 ÷ 17 = 2
Number of tarts that Ivan had at first
= 5 u
= 5 x 2
= 10
Number of tarts that Glen had at first
= 44 - 10
= 34
Number of tarts that Glen had more than Ivan at first
= 34 - 10
= 24
Answer(s): 24
