Rachel bought four times as many tarts as Michael. After Rachel ate 7 tarts, she had 11 more tarts than Michael. How many tarts did they buy altogether?
| |
Rachel |
Michael |
Total |
| Before |
4 u |
1 u |
5 u |
| Change |
- 7 |
|
|
| After |
4 u - 7 |
1 u |
|
The number of tarts that Michael had remains unchanged.
If Michael had another 11 tarts in the end, the number of tarts that Rachel and Michael had would be the same.
4 u - 7 = 1 u + 11
4 u - 1 u = 11 + 7
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of tarts
= 4 u + 1 u
= 5 u
= 5 x 6
= 30
Answer(s): 30
