Fanny and David had a total of $43. After Fanny spent
58 of her money and David spent $9, the ratio of Fanny's money to Kennenth's money became 1 : 3. How much money had David at first?
| |
Fanny |
David |
Total |
| Before |
8 u |
9 u + $9 |
$43 |
| Change |
- 5 u |
- $9 |
|
| After |
3 u |
|
|
Comparing Fanny and
David in the end |
1x3 =
3 u |
3x3 =
9 u |
|
The amount that Fanny had in the end is repeated. Make the amount that Fanny had in the end the same. LCM of 3 and 1 is 3.
Total amount that Fanny and David had at first
= 8 u + 9 u + 9
= 17 u + 9
17 u + 9 = 43
17 u = 43 - 9
17 u = 34
1 u = 34 ÷ 17 = 2
Amount that David had at first
= 9 u + 9
= 9 x 2 + 9
= 18 + 9
= $27
Answer(s): $27
