Zoe had $111 less than Betty. Betty spent
35 of her money and Zoe spent
67 of her money. In the end, Betty had 4 times as much as Zoe. Find the amount of money Betty had at first.
| |
Betty |
Zoe |
Comparing Betty
and Zoe at first |
$111 more |
|
| Before |
5x2 =
10 u |
7x1 =
7 u |
| Change |
- 3x2 =
- 6 u |
- 6x1 =
- 6 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Betty
and Zoe in the end |
4x1 =
4 u |
1x1 =
1 u |
The amount that Betty had in the end is repeated. Make the amount that Betty had in the end the same. LCM of 4 and 2 is 4.
Amount that Zoe had less than Betty
= 10 u - 7 u
= 3 u
3 u = 111
1 u = 111 ÷ 3 = 37
Amount that Betty had at first
= 10 u
= 10 x 37
= $370
Answer(s): $370
