Kathy and Archie had a total of $207. After Kathy spent
16 of her money and Archie spent $18, the ratio of Kathy's money to Kennenth's money became 1 : 3. How much money had Archie at first?
| |
Kathy |
Archie |
Total |
| Before |
6 u |
15 u + $18 |
$207 |
| Change |
- 1 u |
- $18 |
|
| After |
5 u |
|
|
Comparing Kathy and
Archie in the end |
1x5 =
5 u |
3x5 =
15 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 Archie had at first
= 6 u + 15 u + 18
= 21 u + 18
21 u + 18 = 207
21 u = 207 - 18
21 u = 189
1 u = 189 ÷ 21 = 9
Amount that Archie had at first
= 15 u + 18
= 15 x 9 + 18
= 135 + 18
= $153
Answer(s): $153
