Risa and Daniel had a total of $285. After Risa spent
38 of her money and Daniel spent $19, the ratio of Risa's money to Kennenth's money became 1 : 6. How much money had Daniel at first?
| |
Risa |
Daniel |
Total |
| Before |
8 u |
30 u + $19 |
$285 |
| Change |
- 3 u |
- $19 |
|
| After |
5 u |
|
|
Comparing Risa and
Daniel in the end |
1x5 =
5 u |
6x5 =
30 u |
|
The amount that Risa had in the end is repeated. Make the amount that Risa had in the end the same. LCM of 5 and 1 is 5.
Total amount that Risa and Daniel had at first
= 8 u + 30 u + 19
= 38 u + 19
38 u + 19 = 285
38 u = 285 - 19
38 u = 266
1 u = 266 ÷ 38 = 7
Amount that Daniel had at first
= 30 u + 19
= 30 x 7 + 19
= 210 + 19
= $229
Answer(s): $229
