Peter and Ivan have the same amount of money. If Peter spends $43 a day and Ivan spends $14 a day, Ivan will have $319 when Peter uses up all his money. If Peter spends $11 a day and Ivan spends $43 a day, how much will Peter have left when Ivan uses up all his money?
| |
Case 1 |
Case 2 |
| |
Peter |
Ivan |
Peter |
Ivan |
| Before |
43 u |
14 u + $319 |
43 u |
43 u |
| Change |
- 43 u |
- 14 u |
- 11 u |
- 43 u |
| After |
0 |
$319 |
32 u |
0 |
The amounts that Peter and Ivan 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 Peter will have left when Ivan uses up all his money
= 43 u - 11 u
= 32 u
= 32 x 11
= $352
Answer(s): $352
