Ethan and Fred have the same amount of money. If Ethan spends $43 a day and Fred spends $14 a day, Fred will have $319 when Ethan uses up all his money. If Ethan spends $13 a day and Fred spends $43 a day, how much will Ethan have left when Fred uses up all his money?
| |
Case 1 |
Case 2 |
| |
Ethan |
Fred |
Ethan |
Fred |
| Before |
43 u |
14 u + $319 |
43 u |
43 u |
| Change |
- 43 u |
- 14 u |
- 13 u |
- 43 u |
| After |
0 |
$319 |
30 u |
0 |
The amounts that Ethan 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 Ethan will have left when Fred uses up all his money
= 43 u - 13 u
= 30 u
= 30 x 11
= $330
Answer(s): $330
