Fanny had $286 more than Gillian. Fanny spent
25 of her money and Gillian spent
23 of her money. In the end, Fanny had 4 times as much as Gillian. Find the amount of money Gillian had at first.
| |
Fanny |
Gillian |
Comparing Fanny
and Gillian at first |
$286 more |
|
| Before |
5x4 =
20 u |
3x3 =
9 u |
| Change |
- 2x4 =
- 8 u |
- 2x3 =
- 6 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Fanny
and Gillian in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Fanny had in the end is repeated. Make the amount that Fanny had in the end the same. LCM of 4 and 3 is 12.
Amount that Fanny had more than Gillian
= 20 u - 9 u
= 11 u
11 u = 286
1 u = 286 ÷ 11 = 26
Amount that Gillian had at first
= 9 u
= 9 x 26
= $234
Answer(s): $234
