Linda and Fabian had a total of $184. After Linda spent
16 of her money and Fabian spent $2, the ratio of Linda's money to Kennenth's money became 1 : 4. How much money had Fabian at first?
| |
Linda |
Fabian |
Total |
| Before |
6 u |
20 u + $2 |
$184 |
| Change |
- 1 u |
- $2 |
|
| After |
5 u |
|
|
Comparing Linda and
Fabian in the end |
1x5 =
5 u |
4x5 =
20 u |
|
The amount that Linda had in the end is repeated. Make the amount that Linda had in the end the same. LCM of 5 and 1 is 5.
Total amount that Linda and Fabian had at first
= 6 u + 20 u + 2
= 26 u + 2
26 u + 2 = 184
26 u = 184 - 2
26 u = 182
1 u = 182 ÷ 26 = 7
Amount that Fabian had at first
= 20 u + 2
= 20 x 7 + 2
= 140 + 2
= $142
Answer(s): $142
