Gabriel has 338 beads and Luke has 482 beads. How many beads must Luke give to Gabriel so that Gabriel will have 112 less beads than Luke?
| |
Gabriel |
Luke |
Total |
| Before |
338 |
482 |
820 |
| Change |
+ ? |
- ? |
|
| After |
1 u |
1 u + 112 |
820 |
The total number of beads remains unchanged after Luke gives to Gabriel.
Total number of beads
= 338 + 482
= 820
Total number of beads in the end
= 1 u + 1 u + 112
= 2 u + 112
2 u + 112 = 820
2 u = 820 - 112
2 u = 708
1 u = 708 ÷ 2 = 354
Number of beads that Luke must give to Gabriel
= 354 - 338
= 16
Answer(s): 16
