Linda and Caden had a total of $70. After Linda spent
17 of her money and Caden spent $20, the ratio of Linda's money to Kennenth's money became 1 : 3. How much money had Caden at first?
| |
Linda |
Caden |
Total |
| Before |
7 u |
18 u + $20 |
$70 |
| Change |
- 1 u |
- $20 |
|
| After |
6 u |
|
|
Comparing Linda and
Caden in the end |
1x6 =
6 u |
3x6 =
18 u |
|
The amount that Linda had in the end is repeated. Make the amount that Linda had in the end the same. LCM of 6 and 1 is 6.
Total amount that Linda and Caden had at first
= 7 u + 18 u + 20
= 25 u + 20
25 u + 20 = 70
25 u = 70 - 20
25 u = 50
1 u = 50 ÷ 25 = 2
Amount that Caden had at first
= 18 u + 20
= 18 x 2 + 20
= 36 + 20
= $56
Answer(s): $56
