Risa and Rael had a total of $147. After Risa spent
47 of her money and Rael spent $3, the ratio of Risa's money to Kennenth's money became 1 : 3. How much money had Rael at first?
| |
Risa |
Rael |
Total |
| Before |
7 u |
9 u + $3 |
$147 |
| Change |
- 4 u |
- $3 |
|
| After |
3 u |
|
|
Comparing Risa and
Rael in the end |
1x3 =
3 u |
3x3 =
9 u |
|
The amount that Risa had in the end is repeated. Make the amount that Risa had in the end the same. LCM of 3 and 1 is 3.
Total amount that Risa and Rael had at first
= 7 u + 9 u + 3
= 16 u + 3
16 u + 3 = 147
16 u = 147 - 3
16 u = 144
1 u = 144 ÷ 16 = 9
Amount that Rael had at first
= 9 u + 3
= 9 x 9 + 3
= 81 + 3
= $84
Answer(s): $84
