Albert and Rael had $646 altogether. After Albert spent
15 of his money and Rael spent
56 of his money, Albert was left with twice as much money as Rael. How much money did Rael have at first?
| |
Albert |
Rael |
Total |
| Before |
5x1 =
5 u |
6x2 =
12 u |
$646 |
| Change |
- 1x1 =
- 1 u |
- 5x2 =
- 10 u |
|
| After |
4x1 =
4 u |
1x2 =
2 u |
|
Comparing Albert
and Rael in the end |
2x2 =
4 u |
1x2 =
2 u |
|
The amount that Albert had in the end is repeated. Make the amount that Albert had in the end the same. LCM of 4 and 2 is 4.
Total amount that Albert and Rael had at first
= 5 u + 12 u
= 17 u
17 u = 646
1 u = 646 ÷ 17 = 38
Amount that Rael had at first
= 12 u
= 12 x 38
= $456
Answer(s): $456
