Kathy and Dylan had a total of $123. After Kathy spent
27 of her money and Dylan spent $4, the ratio of Kathy's money to Kennenth's money became 1 : 2. How much money had Dylan at first?
| |
Kathy |
Dylan |
Total |
| Before |
7 u |
10 u + $4 |
$123 |
| Change |
- 2 u |
- $4 |
|
| After |
5 u |
|
|
Comparing Kathy and
Dylan in the end |
1x5 =
5 u |
2x5 =
10 u |
|
The amount that Kathy had in the end is repeated. Make the amount that Kathy had in the end the same. LCM of 5 and 1 is 5.
Total amount that Kathy and Dylan had at first
= 7 u + 10 u + 4
= 17 u + 4
17 u + 4 = 123
17 u = 123 - 4
17 u = 119
1 u = 119 ÷ 17 = 7
Amount that Dylan had at first
= 10 u + 4
= 10 x 7 + 4
= 70 + 4
= $74
Answer(s): $74
