Nora and Peter had a total of $170. After Nora spent
18 of her money and Peter spent $20, the ratio of Nora's money to Kennenth's money became 1 : 6. How much money had Peter at first?
| |
Nora |
Peter |
Total |
| Before |
8 u |
42 u + $20 |
$170 |
| Change |
- 1 u |
- $20 |
|
| After |
7 u |
|
|
Comparing Nora and
Peter in the end |
1x7 =
7 u |
6x7 =
42 u |
|
The amount that Nora had in the end is repeated. Make the amount that Nora had in the end the same. LCM of 7 and 1 is 7.
Total amount that Nora and Peter had at first
= 8 u + 42 u + 20
= 50 u + 20
50 u + 20 = 170
50 u = 170 - 20
50 u = 150
1 u = 150 ÷ 50 = 3
Amount that Peter had at first
= 42 u + 20
= 42 x 3 + 20
= 126 + 20
= $146
Answer(s): $146
