Tammy and Brandon had a total of $155. After Tammy spent
37 of her money and Brandon spent $3, the ratio of Tammy's money to Kennenth's money became 1 : 3. How much money had Brandon at first?
| |
Tammy |
Brandon |
Total |
| Before |
7 u |
12 u + $3 |
$155 |
| Change |
- 3 u |
- $3 |
|
| After |
4 u |
|
|
Comparing Tammy and
Brandon in the end |
1x4 =
4 u |
3x4 =
12 u |
|
The amount that Tammy had in the end is repeated. Make the amount that Tammy had in the end the same. LCM of 4 and 1 is 4.
Total amount that Tammy and Brandon had at first
= 7 u + 12 u + 3
= 19 u + 3
19 u + 3 = 155
19 u = 155 - 3
19 u = 152
1 u = 152 ÷ 19 = 8
Amount that Brandon had at first
= 12 u + 3
= 12 x 8 + 3
= 96 + 3
= $99
Answer(s): $99
