Jen had $60 less than Betty. Betty spent
35 of her money and Jen spent
67 of her money. In the end, Betty had 4 times as much as Jen. Find the amount of money Betty had at first.
| |
Betty |
Jen |
Comparing Betty
and Jen at first |
$60 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 Jen 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 Jen had less than Betty
= 10 u - 7 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Amount that Betty had at first
= 10 u
= 10 x 20
= $200
Answer(s): $200
