Roshel and Nick had a total of $87. After Roshel spent
13 of her money and Nick spent $17, the ratio of Roshel's money to Kennenth's money became 1 : 2. How much money had Nick at first?
| |
Roshel |
Nick |
Total |
| Before |
3 u |
4 u + $17 |
$87 |
| Change |
- 1 u |
- $17 |
|
| After |
2 u |
|
|
Comparing Roshel and
Nick in the end |
1x2 =
2 u |
2x2 =
4 u |
|
The amount that Roshel had in the end is repeated. Make the amount that Roshel had in the end the same. LCM of 2 and 1 is 2.
Total amount that Roshel and Nick had at first
= 3 u + 4 u + 17
= 7 u + 17
7 u + 17 = 87
7 u = 87 - 17
7 u = 70
1 u = 70 ÷ 7 = 10
Amount that Nick had at first
= 4 u + 17
= 4 x 10 + 17
= 40 + 17
= $57
Answer(s): $57
