Emily and Fred had a total of $185. After Emily spent
47 of her money and Fred spent $14, the ratio of Emily's money to Kennenth's money became 1 : 4. How much money had Fred at first?
| |
Emily |
Fred |
Total |
| Before |
7 u |
12 u + $14 |
$185 |
| Change |
- 4 u |
- $14 |
|
| After |
3 u |
|
|
Comparing Emily and
Fred in the end |
1x3 =
3 u |
4x3 =
12 u |
|
The amount that Emily had in the end is repeated. Make the amount that Emily had in the end the same. LCM of 3 and 1 is 3.
Total amount that Emily and Fred had at first
= 7 u + 12 u + 14
= 19 u + 14
19 u + 14 = 185
19 u = 185 - 14
19 u = 171
1 u = 171 ÷ 19 = 9
Amount that Fred had at first
= 12 u + 14
= 12 x 9 + 14
= 108 + 14
= $122
Answer(s): $122
