Emily had $150 more than Betty. Emily spent
35 of her money and Betty spent
34 of her money. In the end, Emily had 4 times as much as Betty. Find the amount of money Betty had at first.
| |
Emily |
Betty |
Comparing Emily
and Betty at first |
$150 more |
|
| Before |
5x2 =
10 u |
4x1 =
4 u |
| Change |
- 3x2 =
- 6 u |
- 3x1 =
- 3 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Emily
and Betty in the end |
4x1 =
4 u |
1x1 =
1 u |
The amount that Emily had in the end is repeated. Make the amount that Emily had in the end the same. LCM of 4 and 2 is 4.
Amount that Emily had more than Betty
= 10 u - 4 u
= 6 u
6 u = 150
1 u = 150 ÷ 6 = 25
Amount that Betty had at first
= 4 u
= 4 x 25
= $100
Answer(s): $100
