Fiona and Cody had a total of $79. After Fiona spent
37 of her money and Cody spent $17, the ratio of Fiona's money to Kennenth's money became 1 : 6. How much money had Cody at first?
| |
Fiona |
Cody |
Total |
| Before |
7 u |
24 u + $17 |
$79 |
| Change |
- 3 u |
- $17 |
|
| After |
4 u |
|
|
Comparing Fiona and
Cody in the end |
1x4 =
4 u |
6x4 =
24 u |
|
The amount that Fiona had in the end is repeated. Make the amount that Fiona had in the end the same. LCM of 4 and 1 is 4.
Total amount that Fiona and Cody had at first
= 7 u + 24 u + 17
= 31 u + 17
31 u + 17 = 79
31 u = 79 - 17
31 u = 62
1 u = 62 ÷ 31 = 2
Amount that Cody had at first
= 24 u + 17
= 24 x 2 + 17
= 48 + 17
= $65
Answer(s): $65
