Pamela and Ethan had a total of $140. After Pamela spent
57 of her money and Ethan spent $7, the ratio of Pamela's money to Kennenth's money became 1 : 6. How much money had Ethan at first?
| |
Pamela |
Ethan |
Total |
| Before |
7 u |
12 u + $7 |
$140 |
| Change |
- 5 u |
- $7 |
|
| After |
2 u |
|
|
Comparing Pamela and
Ethan in the end |
1x2 =
2 u |
6x2 =
12 u |
|
The amount that Pamela had in the end is repeated. Make the amount that Pamela had in the end the same. LCM of 2 and 1 is 2.
Total amount that Pamela and Ethan had at first
= 7 u + 12 u + 7
= 19 u + 7
19 u + 7 = 140
19 u = 140 - 7
19 u = 133
1 u = 133 ÷ 19 = 7
Amount that Ethan had at first
= 12 u + 7
= 12 x 7 + 7
= 84 + 7
= $91
Answer(s): $91
