Ethan has 390 mini cupcakes and Vincent has 527 mini cupcakes. How many mini cupcakes must Vincent give to Ethan so that Ethan will have 53 more mini cupcakes than Vincent?
|
Ethan |
Vincent |
Total |
Before |
390 |
527 |
917 |
Change |
+ ? |
- ? |
|
After |
1 u + 53 |
1 u |
917 |
The total number of mini cupcakes remains unchanged after Vincent gives to Ethan.
Total number of mini cupcakes
= 390 + 527
= 917
Total number of mini cupcakes in the end
= 1 u + 1 u + 53
= 2 u + 53
2 u + 53 = 917
2 u = 917 - 53
2 u = 864
1 u = 864 ÷ 2 = 432
Number of mini cupcakes that Vincent must give to Ethan
= 527 - 432
= 95
Answer(s): 95