Sabrina and Riordan had a total of $141. After Sabrina spent
47 of her money and Riordan spent $9, the ratio of Sabrina's money to Kennenth's money became 1 : 5. How much money had Riordan at first?
|
Sabrina |
Riordan |
Total |
Before |
7 u |
15 u + $9 |
$141 |
Change |
- 4 u |
- $9 |
|
After |
3 u |
|
|
Comparing Sabrina and Riordan in the end |
1x3 = 3 u |
5x3 = 15 u |
|
The amount that Sabrina had in the end is repeated. Make the amount that Sabrina had in the end the same. LCM of 3 and 1 is 3.
Total amount that Sabrina and Riordan had at first
= 7 u + 15 u + 9
= 22 u + 9
22 u + 9 = 141
22 u = 141 - 9
22 u = 132
1 u = 132 ÷ 22 = 6
Amount that Riordan had at first
= 15 u + 9
= 15 x 6 + 9
= 90 + 9
= $99
Answer(s): $99