Henry and Zane had 37 tarts altogether. After Henry ate
13 of his tarts and Zane ate 2 tarts, the number of tarts Zane had left was twice the number of tarts Henry had left. How many more tarts did Zane have than Henry at first?
| |
Henry |
Zane |
Total |
| Before |
3 u |
4 u + 2 |
37 |
| Change |
- 1 u |
- 2 |
|
| After |
2 u |
|
|
Comparing Henry and
Zane in the end |
1x2 =
2 u |
2x2 =
4 u |
|
The number of tarts that Henry had in the end is the same. Make the number of tarts that Henry had in the end the same. LCM of 2 and 1 is 2.
Total number of tarts at first
= 3 u + 4 u + 2
= 7 u + 2
7 u + 2 = 37
7 u = 37 - 2
7 u = 35
1 u = 35 ÷ 7 = 5
Number of tarts that Henry had at first
= 3 u
= 3 x 5
= 15
Number of tarts that Zane had at first
= 37 - 15
= 22
Number of tarts that Zane had more than Henry at first
= 22 - 15
= 7
Answer(s): 7
