Archie and Pierre have the same amount of money. If Archie spends $43 a day and Pierre spends $14 a day, Pierre will have $319 when Archie uses up all his money. If Archie spends $12 a day and Pierre spends $43 a day, how much will Archie have left when Pierre uses up all his money?
| |
Case 1 |
Case 2 |
| |
Archie |
Pierre |
Archie |
Pierre |
| Before |
43 u |
14 u + $319 |
43 u |
43 u |
| Change |
- 43 u |
- 14 u |
- 12 u |
- 43 u |
| After |
0 |
$319 |
31 u |
0 |
The amounts that Archie and Pierre 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 Archie will have left when Pierre uses up all his money
= 43 u - 12 u
= 31 u
= 31 x 11
= $341
Answer(s): $341
