Cathy bought four times as many cupcakes as Daniel. After Cathy ate 4 cupcakes, she had 11 more cupcakes than Daniel. How many cupcakes did they buy altogether?
| |
Cathy |
Daniel |
Total |
| Before |
4 u |
1 u |
5 u |
| Change |
- 4 |
|
|
| After |
4 u - 4 |
1 u |
|
The number of cupcakes that Daniel had remains unchanged.
If Daniel had another 11 cupcakes in the end, the number of cupcakes that Cathy and Daniel had would be the same.
4 u - 4 = 1 u + 11
4 u - 1 u = 11 + 4
3 u = 15
1 u = 15 ÷ 3 = 5
Total number of cupcakes
= 4 u + 1 u
= 5 u
= 5 x 5
= 25
Answer(s): 25
