Fiona and Seth had a total of $170. After Fiona spent
17 of her money and Seth spent $18, the ratio of Fiona's money to Kennenth's money became 1 : 2. How much money had Seth at first?
| |
Fiona |
Seth |
Total |
| Before |
7 u |
12 u + $18 |
$170 |
| Change |
- 1 u |
- $18 |
|
| After |
6 u |
|
|
Comparing Fiona and
Seth in the end |
1x6 =
6 u |
2x6 =
12 u |
|
The amount that Fiona had in the end is repeated. Make the amount that Fiona had in the end the same. LCM of 6 and 1 is 6.
Total amount that Fiona and Seth had at first
= 7 u + 12 u + 18
= 19 u + 18
19 u + 18 = 170
19 u = 170 - 18
19 u = 152
1 u = 152 ÷ 19 = 8
Amount that Seth had at first
= 12 u + 18
= 12 x 8 + 18
= 96 + 18
= $114
Answer(s): $114
