Zoe had $190 more than Gwen. Zoe spent
35 of her money and Gwen spent
45 of her money. In the end, Zoe had 4 times as much as Gwen. Find the amount of money Gwen had at first.
| |
Zoe |
Gwen |
Comparing Zoe
and Gwen at first |
$190 more |
|
| Before |
5x2 =
10 u |
5x1 =
5 u |
| Change |
- 3x2 =
- 6 u |
- 4x1 =
- 4 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Zoe
and Gwen in the end |
4x1 =
4 u |
1x1 =
1 u |
The amount that Zoe had in the end is repeated. Make the amount that Zoe had in the end the same. LCM of 4 and 2 is 4.
Amount that Zoe had more than Gwen
= 10 u - 5 u
= 5 u
5 u = 190
1 u = 190 ÷ 5 = 38
Amount that Gwen had at first
= 5 u
= 5 x 38
= $190
Answer(s): $190
