Nicole had 9 more tarts than Cathy at first. After Nicole ate 3 tarts, she had four times as many tarts as Cathy in the end. How many tarts did Cathy have?
|
Cathy |
Nicole |
Before |
1 u |
1 u + 9 |
Change |
|
- 3 |
After |
1 u |
1 u + 6 |
Comparing Cathy and Nicole in the end |
1 u |
4 u |
The number of tarts that Cathy had remains unchanged.
Number of tarts that Nicole had in the end
= 4 x 1 u
= 4 u
4 u = 1 u + 6
4 u - 1 u = 6
3 u = 6
1 u = 6 ÷ 3 = 2
Number of tarts that Cathy had
= 1 u
= 2
Answer(s): 2