Ivan and Oscar had a total of $192. Ivan gave $34 to Oscar. In return, Oscar gave
13 of his money to Ivan. In the end, Ivan had five times as much money as Oscar. How much money did Ivan have at first?
| |
Ivan |
Oscar |
Total |
| Before |
|
|
$192 |
| Change 1 |
- $34 |
+ $34 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Ivan
and Oscar
in the end |
5 u |
1 u |
$192 |
The total amount that Oscar and Ivan had remains unchanged.
Total amount in the end
= 5 u + 1 u
= 6 u
6 u = 192
1 u = 192 ÷ 6 = 32
Amount that Ivan has in the end
= 5 u
= 5 x 32
= $160
Amount that Oscar has in the end
= 1 u
= $32
2 p = 1 u = 32
1 p = 32 ÷ 2 = 16
Amount that Oscar gave to Ivan
= 1 p
= 1 x 16
= $16
Amount that Ivan had at first
= 160 - 16 + 34
= $178
Answer(s): $178
