Jack and Howard had $1189 altogether. After Jack spent
15 of his money and Howard spent
34 of his money, Jack was left with five times as much money as Howard. How much money did Howard have at first?
| |
Jack |
Howard |
Total |
| Before |
5x5 =
25 u |
4x4 =
16 u |
$1189 |
| Change |
- 1x5 =
- 5 u |
- 3x4 =
- 12 u |
|
| After |
4x5 =
20 u |
1x4 =
4 u |
|
Comparing Jack
and Howard in the end |
5x4 =
20 u |
1x4 =
4 u |
|
The amount that Jack had in the end is repeated. Make the amount that Jack had in the end the same. LCM of 4 and 5 is 20.
Total amount that Jack and Howard had at first
= 25 u + 16 u
= 41 u
41 u = 1189
1 u = 1189 ÷ 41 = 29
Amount that Howard had at first
= 16 u
= 16 x 29
= $464
Answer(s): $464
