Zeph and Ivan had $2120 altogether. After Zeph spent
16 of his money and Ivan spent
67 of his money, Zeph was left with thrice as much money as Ivan. How much money did Ivan have at first?
| |
Zeph |
Ivan |
Total |
| Before |
6x3 =
18 u |
7x5 =
35 u |
$2120 |
| Change |
- 1x3 =
- 3 u |
- 6x5 =
- 30 u |
|
| After |
5x3 =
15 u |
1x5 =
5 u |
|
Comparing Zeph
and Ivan in the end |
3x5 =
15 u |
1x5 =
5 u |
|
The amount that Zeph had in the end is repeated. Make the amount that Zeph had in the end the same. LCM of 5 and 3 is 15.
Total amount that Zeph and Ivan had at first
= 18 u + 35 u
= 53 u
53 u = 2120
1 u = 2120 ÷ 53 = 40
Amount that Ivan had at first
= 35 u
= 35 x 40
= $1400
Answer(s): $1400
