Kathy and Riordan had a total of $268. After Kathy spent
58 of her money and Riordan spent $8, the ratio of Kathy's money to Kennenth's money became 1 : 6. How much money had Riordan at first?
| |
Kathy |
Riordan |
Total |
| Before |
8 u |
18 u + $8 |
$268 |
| Change |
- 5 u |
- $8 |
|
| After |
3 u |
|
|
Comparing Kathy and
Riordan in the end |
1x3 =
3 u |
6x3 =
18 u |
|
The amount that Kathy had in the end is repeated. Make the amount that Kathy had in the end the same. LCM of 3 and 1 is 3.
Total amount that Kathy and Riordan had at first
= 8 u + 18 u + 8
= 26 u + 8
26 u + 8 = 268
26 u = 268 - 8
26 u = 260
1 u = 260 ÷ 26 = 10
Amount that Riordan had at first
= 18 u + 8
= 18 x 10 + 8
= 180 + 8
= $188
Answer(s): $188
