Sarah and Ian had a total of $203. After Sarah spent
27 of her money and Ian spent $18, the ratio of Sarah's money to Kennenth's money became 1 : 6. How much money had Ian at first?
| |
Sarah |
Ian |
Total |
| Before |
7 u |
30 u + $18 |
$203 |
| Change |
- 2 u |
- $18 |
|
| After |
5 u |
|
|
Comparing Sarah and
Ian in the end |
1x5 =
5 u |
6x5 =
30 u |
|
The amount that Sarah had in the end is repeated. Make the amount that Sarah had in the end the same. LCM of 5 and 1 is 5.
Total amount that Sarah and Ian had at first
= 7 u + 30 u + 18
= 37 u + 18
37 u + 18 = 203
37 u = 203 - 18
37 u = 185
1 u = 185 ÷ 37 = 5
Amount that Ian had at first
= 30 u + 18
= 30 x 5 + 18
= 150 + 18
= $168
Answer(s): $168
