Zoe had $245 less than Nicole. Nicole spent
35 of her money and Zoe spent
45 of her money. In the end, Nicole had 3 times as much as Zoe. Find the amount of money Nicole had at first.
| |
Nicole |
Zoe |
Comparing Nicole
and Zoe at first |
$245 more |
|
| Before |
5x3 =
15 u |
5x2 =
10 u |
| Change |
- 3x3 =
- 9 u |
- 4x2 =
- 8 u |
| After |
2x3 =
6 u |
1x2 =
2 u |
Comparing Nicole
and Zoe in the end |
3x2 =
6 u |
1x2 =
2 u |
The amount that Nicole had in the end is repeated. Make the amount that Nicole had in the end the same. LCM of 3 and 2 is 6.
Amount that Zoe had less than Nicole
= 15 u - 10 u
= 5 u
5 u = 245
1 u = 245 ÷ 5 = 49
Amount that Nicole had at first
= 15 u
= 15 x 49
= $735
Answer(s): $735
