Fred and Ivan had $1326 altogether. After Fred spent
16 of his money and Ivan spent
23 of his money, Fred was left with four times as much money as Ivan. How much money did Ivan have at first?
| |
Fred |
Ivan |
Total |
| Before |
6x4 =
24 u |
3x5 =
15 u |
$1326 |
| Change |
- 1x4 =
- 4 u |
- 2x5 =
- 10 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing Fred
and Ivan in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that Fred had in the end is repeated. Make the amount that Fred had in the end the same. LCM of 5 and 4 is 20.
Total amount that Fred and Ivan had at first
= 24 u + 15 u
= 39 u
39 u = 1326
1 u = 1326 ÷ 39 = 34
Amount that Ivan had at first
= 15 u
= 15 x 34
= $510
Answer(s): $510
