Ethan and Bryan had $1007 altogether. After Ethan spent
16 of his money and Bryan spent
67 of his money, Ethan was left with thrice as much money as Bryan. How much money did Bryan have at first?
| |
Ethan |
Bryan |
Total |
| Before |
6x3 =
18 u |
7x5 =
35 u |
$1007 |
| Change |
- 1x3 =
- 3 u |
- 6x5 =
- 30 u |
|
| After |
5x3 =
15 u |
1x5 =
5 u |
|
Comparing Ethan
and Bryan in the end |
3x5 =
15 u |
1x5 =
5 u |
|
The amount that Ethan had in the end is repeated. Make the amount that Ethan had in the end the same. LCM of 5 and 3 is 15.
Total amount that Ethan and Bryan had at first
= 18 u + 35 u
= 53 u
53 u = 1007
1 u = 1007 ÷ 53 = 19
Amount that Bryan had at first
= 35 u
= 35 x 19
= $665
Answer(s): $665
