Howard and Bryan had $1452 altogether. After Howard spent
16 of his money and Bryan spent
34 of his money, Howard was left with four times as much money as Bryan. How much money did Bryan have at first?
|
Howard |
Bryan |
Total |
Before |
6x4 = 24 u |
4x5 = 20 u |
$1452 |
Change |
- 1x4 = - 4 u |
- 3x5 = - 15 u |
|
After |
5x4 = 20 u |
1x5 = 5 u |
|
Comparing Howard and Bryan in the end |
4x5 = 20 u |
1x5 = 5 u |
|
The amount that Howard had in the end is repeated. Make the amount that Howard had in the end the same. LCM of 5 and 4 is 20.
Total amount that Howard and Bryan had at first
= 24 u + 20 u
= 44 u
44 u = 1452
1 u = 1452 ÷ 44 = 33
Amount that Bryan had at first
= 20 u
= 20 x 33
= $660
Answer(s): $660