Zeph and Ivan had a total of $279. Zeph gave $10 to Ivan. In return, Ivan gave
14 of his money to Zeph. In the end, Zeph had twice as much money as Ivan. How much money did Zeph have at first?
| |
Zeph |
Ivan |
Total |
| Before |
|
|
$279 |
| Change 1 |
- $10 |
+ $10 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Zeph
and Ivan
in the end |
2 u |
1 u |
$279 |
The total amount that Ivan and Zeph had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 279
1 u = 279 ÷ 3 = 93
Amount that Zeph has in the end
= 2 u
= 2 x 93
= $186
Amount that Ivan has in the end
= 1 u
= $93
3 p = 1 u = 93
1 p = 93 ÷ 3 = 31
Amount that Ivan gave to Zeph
= 1 p
= 1 x 31
= $31
Amount that Zeph had at first
= 186 - 31 + 10
= $165
Answer(s): $165
