Zoe had $147 more than Vanessa. Zoe spent
35 of her money and Vanessa spent
34 of her money. In the end, Zoe had 3 times as much as Vanessa. Find the amount of money Vanessa had at first.
| |
Zoe |
Vanessa |
Comparing Zoe
and Vanessa at first |
$147 more |
|
| Before |
5x3 =
15 u |
4x2 =
8 u |
| Change |
- 3x3 =
- 9 u |
- 3x2 =
- 6 u |
| After |
2x3 =
6 u |
1x2 =
2 u |
Comparing Zoe
and Vanessa in the end |
3x2 =
6 u |
1x2 =
2 u |
The amount that Zoe had in the end is repeated. Make the amount that Zoe had in the end the same. LCM of 3 and 2 is 6.
Amount that Zoe had more than Vanessa
= 15 u - 8 u
= 7 u
7 u = 147
1 u = 147 ÷ 7 = 21
Amount that Vanessa had at first
= 8 u
= 8 x 21
= $168
Answer(s): $168
