Xandra had $147 less than Fiona. Fiona spent
27 of her money and Xandra spent
45 of her money. In the end, Fiona had 4 times as much as Xandra. Find the amount of money Fiona had at first.
| |
Fiona |
Xandra |
Comparing Fiona
and Xandra at first |
$147 more |
|
| Before |
7x4 =
28 u |
5x5 =
25 u |
| Change |
- 2x4 =
- 8 u |
- 4x5 =
- 20 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Fiona
and Xandra in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Fiona had in the end is repeated. Make the amount that Fiona had in the end the same. LCM of 4 and 5 is 20.
Amount that Xandra had less than Fiona
= 28 u - 25 u
= 3 u
3 u = 147
1 u = 147 ÷ 3 = 49
Amount that Fiona had at first
= 28 u
= 28 x 49
= $1372
Answer(s): $1372
