Min and Ian had a total of $187. After Min spent
35 of her money and Ian spent $17, the ratio of Min's money to Kennenth's money became 1 : 6. How much money had Ian at first?
| |
Min |
Ian |
Total |
| Before |
5 u |
12 u + $17 |
$187 |
| Change |
- 3 u |
- $17 |
|
| After |
2 u |
|
|
Comparing Min and
Ian in the end |
1x2 =
2 u |
6x2 =
12 u |
|
The amount that Min had in the end is repeated. Make the amount that Min had in the end the same. LCM of 2 and 1 is 2.
Total amount that Min and Ian had at first
= 5 u + 12 u + 17
= 17 u + 17
17 u + 17 = 187
17 u = 187 - 17
17 u = 170
1 u = 170 ÷ 17 = 10
Amount that Ian had at first
= 12 u + 17
= 12 x 10 + 17
= 120 + 17
= $137
Answer(s): $137
