Tammy and Fabian had a total of $85. After Tammy spent
37 of her money and Fabian spent $16, the ratio of Tammy's money to Kennenth's money became 1 : 4. How much money had Fabian at first?
| |
Tammy |
Fabian |
Total |
| Before |
7 u |
16 u + $16 |
$85 |
| Change |
- 3 u |
- $16 |
|
| After |
4 u |
|
|
Comparing Tammy and
Fabian in the end |
1x4 =
4 u |
4x4 =
16 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 Fabian had at first
= 7 u + 16 u + 16
= 23 u + 16
23 u + 16 = 85
23 u = 85 - 16
23 u = 69
1 u = 69 ÷ 23 = 3
Amount that Fabian had at first
= 16 u + 16
= 16 x 3 + 16
= 48 + 16
= $64
Answer(s): $64
