Jane and Fabian had a total of $170. After Jane spent
38 of her money and Fabian spent $8, the ratio of Jane's money to Kennenth's money became 1 : 2. How much money had Fabian at first?
| |
Jane |
Fabian |
Total |
| Before |
8 u |
10 u + $8 |
$170 |
| Change |
- 3 u |
- $8 |
|
| After |
5 u |
|
|
Comparing Jane and
Fabian in the end |
1x5 =
5 u |
2x5 =
10 u |
|
The amount that Jane had in the end is repeated. Make the amount that Jane had in the end the same. LCM of 5 and 1 is 5.
Total amount that Jane and Fabian had at first
= 8 u + 10 u + 8
= 18 u + 8
18 u + 8 = 170
18 u = 170 - 8
18 u = 162
1 u = 162 ÷ 18 = 9
Amount that Fabian had at first
= 10 u + 8
= 10 x 9 + 8
= 90 + 8
= $98
Answer(s): $98
