Luis and Luke have the same amount of money. If Luis spends $43 a day and Luke spends $14 a day, Luke will have $319 when Luis uses up all his money. If Luis spends $17 a day and Luke spends $43 a day, how much will Luis have left when Luke uses up all his money?
| |
Case 1 |
Case 2 |
| |
Luis |
Luke |
Luis |
Luke |
| Before |
43 u |
14 u + $319 |
43 u |
43 u |
| Change |
- 43 u |
- 14 u |
- 17 u |
- 43 u |
| After |
0 |
$319 |
26 u |
0 |
The amounts that Luis and Luke 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 Luis will have left when Luke uses up all his money
= 43 u - 17 u
= 26 u
= 26 x 11
= $286
Answer(s): $286
