Luke and Fred have the same amount of money. If Luke spends $43 a day and Fred spends $14 a day, Fred will have $319 when Luke uses up all his money. If Luke spends $14 a day and Fred spends $43 a day, how much will Luke have left when Fred uses up all his money?
| |
Case 1 |
Case 2 |
| |
Luke |
Fred |
Luke |
Fred |
| Before |
43 u |
14 u + $319 |
43 u |
43 u |
| Change |
- 43 u |
- 14 u |
- 14 u |
- 43 u |
| After |
0 |
$319 |
29 u |
0 |
The amounts that Luke and Fred have at first are the same.
43 u = 14 u + 319
43 u - 14 u = 319
29 u = 319
1 u = 319 ÷ 29 = 11
Amount that Luke will have left when Fred uses up all his money
= 43 u - 14 u
= 29 u
= 29 x 11
= $319
Answer(s): $319
