Tiffany and Brandon had a total of $75. After Tiffany spent
14 of her money and Brandon spent $10, the ratio of Tiffany's money to Kennenth's money became 1 : 3. How much money had Brandon at first?
| |
Tiffany |
Brandon |
Total |
| Before |
4 u |
9 u + $10 |
$75 |
| Change |
- 1 u |
- $10 |
|
| After |
3 u |
|
|
Comparing Tiffany and
Brandon in the end |
1x3 =
3 u |
3x3 =
9 u |
|
The amount that Tiffany had in the end is repeated. Make the amount that Tiffany had in the end the same. LCM of 3 and 1 is 3.
Total amount that Tiffany and Brandon had at first
= 4 u + 9 u + 10
= 13 u + 10
13 u + 10 = 75
13 u = 75 - 10
13 u = 65
1 u = 65 ÷ 13 = 5
Amount that Brandon had at first
= 9 u + 10
= 9 x 5 + 10
= 45 + 10
= $55
Answer(s): $55
