Natalie had $360 more than Fiona. Natalie spent
38 of her money and Fiona spent
34 of her money. In the end, Natalie had 4 times as much as Fiona. Find the amount of money Fiona had at first.
| |
Natalie |
Fiona |
Comparing Natalie
and Fiona at first |
$360 more |
|
| Before |
8x4 =
32 u |
4x5 =
20 u |
| Change |
- 3x4 =
- 12 u |
- 3x5 =
- 15 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Natalie
and Fiona in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Natalie had in the end is repeated. Make the amount that Natalie had in the end the same. LCM of 4 and 5 is 20.
Amount that Natalie had more than Fiona
= 32 u - 20 u
= 12 u
12 u = 360
1 u = 360 ÷ 12 = 30
Amount that Fiona had at first
= 20 u
= 20 x 30
= $600
Answer(s): $600
