Fiona had $276 more than Gwen. Fiona spent
27 of her money and Gwen spent
23 of her money. In the end, Fiona had 3 times as much as Gwen. Find the amount of money Gwen had at first.
| |
Fiona |
Gwen |
Comparing Fiona
and Gwen at first |
$276 more |
|
| Before |
7x3 =
21 u |
3x5 =
15 u |
| Change |
- 2x3 =
- 6 u |
- 2x5 =
- 10 u |
| After |
5x3 =
15 u |
1x5 =
5 u |
Comparing Fiona
and Gwen in the end |
3x5 =
15 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 3 and 5 is 15.
Amount that Fiona had more than Gwen
= 21 u - 15 u
= 6 u
6 u = 276
1 u = 276 ÷ 6 = 46
Amount that Gwen had at first
= 15 u
= 15 x 46
= $690
Answer(s): $690
