Luke has 337 mochi balls and Rael has 513 mochi balls. How many mochi balls must Rael give to Luke so that Luke will have 52 more mochi balls than Rael?
| |
Luke |
Rael |
Total |
| Before |
337 |
513 |
850 |
| Change |
+ ? |
- ? |
|
| After |
1 u + 52 |
1 u |
850 |
The total number of mochi balls remains unchanged after Rael gives to Luke.
Total number of mochi balls
= 337 + 513
= 850
Total number of mochi balls in the end
= 1 u + 1 u + 52
= 2 u + 52
2 u + 52 = 850
2 u = 850 - 52
2 u = 798
1 u = 798 ÷ 2 = 399
Number of mochi balls that Rael must give to Luke
= 513 - 399
= 114
Answer(s): 114
