Betty had $280 less than Zoe. Zoe spent
58 of her money and Betty spent
56 of her money. In the end, Zoe had 4 times as much as Betty. Find the amount of money Zoe had at first.
| |
Zoe |
Betty |
Comparing Zoe
and Betty at first |
$280 more |
|
| Before |
8x4 =
32 u |
6x3 =
18 u |
| Change |
- 5x4 =
- 20 u |
- 5x3 =
- 15 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Zoe
and Betty in the end |
4x3 =
12 u |
1x3 =
3 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 3 is 12.
Amount that Betty had less than Zoe
= 32 u - 18 u
= 14 u
14 u = 280
1 u = 280 ÷ 14 = 20
Amount that Zoe had at first
= 32 u
= 32 x 20
= $640
Answer(s): $640
