Fanny had $320 less than Nora. Nora spent
27 of her money and Fanny spent
34 of her money. In the end, Nora had 4 times as much as Fanny. Find the amount of money Nora had at first.
| |
Nora |
Fanny |
Comparing Nora
and Fanny at first |
$320 more |
|
| Before |
7x4 =
28 u |
4x5 =
20 u |
| Change |
- 2x4 =
- 8 u |
- 3x5 =
- 15 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Nora
and Fanny in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Nora had in the end is repeated. Make the amount that Nora had in the end the same. LCM of 4 and 5 is 20.
Amount that Fanny had less than Nora
= 28 u - 20 u
= 8 u
8 u = 320
1 u = 320 ÷ 8 = 40
Amount that Nora had at first
= 28 u
= 28 x 40
= $1120
Answer(s): $1120
