Shannon and Brandon had a total of $70. After Shannon spent
35 of her money and Brandon spent $15, the ratio of Shannon's money to Kennenth's money became 1 : 3. How much money had Brandon at first?
| |
Shannon |
Brandon |
Total |
| Before |
5 u |
6 u + $15 |
$70 |
| Change |
- 3 u |
- $15 |
|
| After |
2 u |
|
|
Comparing Shannon and
Brandon in the end |
1x2 =
2 u |
3x2 =
6 u |
|
The amount that Shannon had in the end is repeated. Make the amount that Shannon had in the end the same. LCM of 2 and 1 is 2.
Total amount that Shannon and Brandon had at first
= 5 u + 6 u + 15
= 11 u + 15
11 u + 15 = 70
11 u = 70 - 15
11 u = 55
1 u = 55 ÷ 11 = 5
Amount that Brandon had at first
= 6 u + 15
= 6 x 5 + 15
= 30 + 15
= $45
Answer(s): $45
