Raeann had $405 more than Olivia. Raeann spent
37 of her money and Olivia spent
23 of her money. In the end, Raeann had 3 times as much as Olivia. Find the amount of money Olivia had at first.
| |
Raeann |
Olivia |
Comparing Raeann
and Olivia at first |
$405 more |
|
| Before |
7x3 =
21 u |
3x4 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 2x4 =
- 8 u |
| After |
4x3 =
12 u |
1x4 =
4 u |
Comparing Raeann
and Olivia in the end |
3x4 =
12 u |
1x4 =
4 u |
The amount that Raeann had in the end is repeated. Make the amount that Raeann had in the end the same. LCM of 3 and 4 is 12.
Amount that Raeann had more than Olivia
= 21 u - 12 u
= 9 u
9 u = 405
1 u = 405 ÷ 9 = 45
Amount that Olivia had at first
= 12 u
= 12 x 45
= $540
Answer(s): $540
