Barbara and Brandon had a total of $45. After Barbara spent
13 of her money and Brandon spent $6, the ratio of Barbara's money to Kennenth's money became 1 : 5. How much money had Brandon at first?
| |
Barbara |
Brandon |
Total |
| Before |
3 u |
10 u + $6 |
$45 |
| Change |
- 1 u |
- $6 |
|
| After |
2 u |
|
|
Comparing Barbara and
Brandon in the end |
1x2 =
2 u |
5x2 =
10 u |
|
The amount that Barbara had in the end is repeated. Make the amount that Barbara had in the end the same. LCM of 2 and 1 is 2.
Total amount that Barbara and Brandon had at first
= 3 u + 10 u + 6
= 13 u + 6
13 u + 6 = 45
13 u = 45 - 6
13 u = 39
1 u = 39 ÷ 13 = 3
Amount that Brandon had at first
= 10 u + 6
= 10 x 3 + 6
= 30 + 6
= $36
Answer(s): $36
