Nora and Fred had a total of $61. After Nora spent
27 of her money and Fred spent $7, the ratio of Nora's money to Kennenth's money became 1 : 4. How much money had Fred at first?
| |
Nora |
Fred |
Total |
| Before |
7 u |
20 u + $7 |
$61 |
| Change |
- 2 u |
- $7 |
|
| After |
5 u |
|
|
Comparing Nora and
Fred in the end |
1x5 =
5 u |
4x5 =
20 u |
|
The amount that Nora had in the end is repeated. Make the amount that Nora had in the end the same. LCM of 5 and 1 is 5.
Total amount that Nora and Fred had at first
= 7 u + 20 u + 7
= 27 u + 7
27 u + 7 = 61
27 u = 61 - 7
27 u = 54
1 u = 54 ÷ 27 = 2
Amount that Fred had at first
= 20 u + 7
= 20 x 2 + 7
= 40 + 7
= $47
Answer(s): $47
