Nora had $150 more than Min. Nora spent
35 of her money and Min spent
56 of her money. In the end, Nora had 3 times as much as Min. Find the amount of money Min had at first.
|
Nora |
Min |
Comparing Nora and Min at first |
$150 more |
|
Before |
5x3 = 15 u |
6x2 = 12 u |
Change |
- 3x3 = - 9 u |
- 5x2 = - 10 u |
After |
2x3 = 6 u |
1x2 = 2 u |
Comparing Nora and Min in the end |
3x2 = 6 u |
1x2 = 2 u |
The amount that Nora had in the end is repeated. Make the amount that Nora had in the end the same. LCM of 3 and 2 is 6.
Amount that Nora had more than Min
= 15 u - 12 u
= 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
Amount that Min had at first
= 12 u
= 12 x 50
= $600
Answer(s): $600