Shannon and Brandon had a total of $192. After Shannon spent
17 of her money and Brandon spent $17, the ratio of Shannon's money to Kennenth's money became 1 : 3. How much money had Brandon at first?
| |
Shannon |
Brandon |
Total |
| Before |
7 u |
18 u + $17 |
$192 |
| Change |
- 1 u |
- $17 |
|
| After |
6 u |
|
|
Comparing Shannon and
Brandon in the end |
1x6 =
6 u |
3x6 =
18 u |
|
The amount that Shannon had in the end is repeated. Make the amount that Shannon had in the end the same. LCM of 6 and 1 is 6.
Total amount that Shannon and Brandon had at first
= 7 u + 18 u + 17
= 25 u + 17
25 u + 17 = 192
25 u = 192 - 17
25 u = 175
1 u = 175 ÷ 25 = 7
Amount that Brandon had at first
= 18 u + 17
= 18 x 7 + 17
= 126 + 17
= $143
Answer(s): $143
