Reggie and Ethan had $1274 altogether. After Reggie spent
15 of his money and Ethan spent
56 of his money, Reggie was left with five times as much money as Ethan. How much money did Ethan have at first?
| |
Reggie |
Ethan |
Total |
| Before |
5x5 =
25 u |
6x4 =
24 u |
$1274 |
| Change |
- 1x5 =
- 5 u |
- 5x4 =
- 20 u |
|
| After |
4x5 =
20 u |
1x4 =
4 u |
|
Comparing Reggie
and Ethan in the end |
5x4 =
20 u |
1x4 =
4 u |
|
The amount that Reggie had in the end is repeated. Make the amount that Reggie had in the end the same. LCM of 4 and 5 is 20.
Total amount that Reggie and Ethan had at first
= 25 u + 24 u
= 49 u
49 u = 1274
1 u = 1274 ÷ 49 = 26
Amount that Ethan had at first
= 24 u
= 24 x 26
= $624
Answer(s): $624
