Howard and Ivan had $1584 altogether. After Howard spent
14 of his money and Ivan spent
78 of his money, Howard was left with five times as much money as Ivan. How much money did Ivan have at first?
| |
Howard |
Ivan |
Total |
| Before |
4x5 =
20 u |
8x3 =
24 u |
$1584 |
| Change |
- 1x5 =
- 5 u |
- 7x3 =
- 21 u |
|
| After |
3x5 =
15 u |
1x3 =
3 u |
|
Comparing Howard
and Ivan in the end |
5x3 =
15 u |
1x3 =
3 u |
|
The amount that Howard had in the end is repeated. Make the amount that Howard had in the end the same. LCM of 3 and 5 is 15.
Total amount that Howard and Ivan had at first
= 20 u + 24 u
= 44 u
44 u = 1584
1 u = 1584 ÷ 44 = 36
Amount that Ivan had at first
= 24 u
= 24 x 36
= $864
Answer(s): $864
