Pierre has 490 mochi balls and Julian has 660 mochi balls. How many mochi balls must Julian give to Pierre so that Pierre will have 46 more mochi balls than Julian?
| |
Pierre |
Julian |
Total |
| Before |
490 |
660 |
1150 |
| Change |
+ ? |
- ? |
|
| After |
1 u + 46 |
1 u |
1150 |
The total number of mochi balls remains unchanged after Julian gives to Pierre.
Total number of mochi balls
= 490 + 660
= 1150
Total number of mochi balls in the end
= 1 u + 1 u + 46
= 2 u + 46
2 u + 46 = 1150
2 u = 1150 - 46
2 u = 1104
1 u = 1104 ÷ 2 = 552
Number of mochi balls that Julian must give to Pierre
= 660 - 552
= 108
Answer(s): 108
