Rachel and Brandon had a total of $135. After Rachel spent
17 of her money and Brandon spent $10, the ratio of Rachel's money to Kennenth's money became 1 : 3. How much money had Brandon at first?
| |
Rachel |
Brandon |
Total |
| Before |
7 u |
18 u + $10 |
$135 |
| Change |
- 1 u |
- $10 |
|
| After |
6 u |
|
|
Comparing Rachel and
Brandon in the end |
1x6 =
6 u |
3x6 =
18 u |
|
The amount that Rachel had in the end is repeated. Make the amount that Rachel had in the end the same. LCM of 6 and 1 is 6.
Total amount that Rachel and Brandon had at first
= 7 u + 18 u + 10
= 25 u + 10
25 u + 10 = 135
25 u = 135 - 10
25 u = 125
1 u = 125 ÷ 25 = 5
Amount that Brandon had at first
= 18 u + 10
= 18 x 5 + 10
= 90 + 10
= $100
Answer(s): $100
