Cathy had $559 more than Nora. Cathy spent
27 of her money and Nora spent
23 of her money. In the end, Cathy had 4 times as much as Nora. Find the amount of money Nora had at first.
| |
Cathy |
Nora |
Comparing Cathy
and Nora at first |
$559 more |
|
| Before |
7x4 =
28 u |
3x5 =
15 u |
| Change |
- 2x4 =
- 8 u |
- 2x5 =
- 10 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Cathy
and Nora in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Cathy had in the end is repeated. Make the amount that Cathy had in the end the same. LCM of 4 and 5 is 20.
Amount that Cathy had more than Nora
= 28 u - 15 u
= 13 u
13 u = 559
1 u = 559 ÷ 13 = 43
Amount that Nora had at first
= 15 u
= 15 x 43
= $645
Answer(s): $645
