Tiffany and Tommy had a total of $125. After Tiffany spent
13 of her money and Tommy spent $20, the ratio of Tiffany's money to Kennenth's money became 1 : 6. How much money had Tommy at first?
| |
Tiffany |
Tommy |
Total |
| Before |
3 u |
12 u + $20 |
$125 |
| Change |
- 1 u |
- $20 |
|
| After |
2 u |
|
|
Comparing Tiffany and
Tommy in the end |
1x2 =
2 u |
6x2 =
12 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 Tommy had at first
= 3 u + 12 u + 20
= 15 u + 20
15 u + 20 = 125
15 u = 125 - 20
15 u = 105
1 u = 105 ÷ 15 = 7
Amount that Tommy had at first
= 12 u + 20
= 12 x 7 + 20
= 84 + 20
= $104
Answer(s): $104
