Tiffany and Carl had a total of $49. After Tiffany spent
13 of her money and Carl spent $5, the ratio of Tiffany's money to Kennenth's money became 1 : 4. How much money had Carl at first?
| |
Tiffany |
Carl |
Total |
| Before |
3 u |
8 u + $5 |
$49 |
| Change |
- 1 u |
- $5 |
|
| After |
2 u |
|
|
Comparing Tiffany and
Carl in the end |
1x2 =
2 u |
4x2 =
8 u |
|
The amount that Tiffany had in the end is repeated. Make the amount that Tiffany had in the end the same. LCM of 2 and 1 is 2.
Total amount that Tiffany and Carl had at first
= 3 u + 8 u + 5
= 11 u + 5
11 u + 5 = 49
11 u = 49 - 5
11 u = 44
1 u = 44 ÷ 11 = 4
Amount that Carl had at first
= 8 u + 5
= 8 x 4 + 5
= 32 + 5
= $37
Answer(s): $37
