Jean had 9 more tarts than Emma at first. After Jean ate 5 tarts, she had thrice as many tarts as Emma in the end. How many tarts did Emma have?
|
Emma |
Jean |
Before |
1 u |
1 u + 9 |
Change |
|
- 5 |
After |
1 u |
1 u + 4 |
Comparing Emma and Jean in the end |
1 u |
3 u |
The number of tarts that Emma had remains unchanged.
Number of tarts that Jean had in the end
= 3 x 1 u
= 3 u
3 u = 1 u + 4
3 u - 1 u = 4
2 u = 4
1 u = 4 ÷ 2 = 2
Number of tarts that Emma had
= 1 u
= 2
Answer(s): 2