Roshel had $414 more than Raeann. Roshel spent
37 of her money and Raeann spent
23 of her money. In the end, Roshel had 3 times as much as Raeann. Find the amount of money Raeann had at first.
| |
Roshel |
Raeann |
Comparing Roshel
and Raeann at first |
$414 more |
|
| Before |
7x3 =
21 u |
3x4 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 2x4 =
- 8 u |
| After |
4x3 =
12 u |
1x4 =
4 u |
Comparing Roshel
and Raeann in the end |
3x4 =
12 u |
1x4 =
4 u |
The amount that Roshel had in the end is repeated. Make the amount that Roshel had in the end the same. LCM of 3 and 4 is 12.
Amount that Roshel had more than Raeann
= 21 u - 12 u
= 9 u
9 u = 414
1 u = 414 ÷ 9 = 46
Amount that Raeann had at first
= 12 u
= 12 x 46
= $552
Answer(s): $552
