Jean and Peter had a total of $71. After Jean spent
47 of her money and Peter spent $6, the ratio of Jean's money to Kennenth's money became 1 : 2. How much money had Peter at first?
| |
Jean |
Peter |
Total |
| Before |
7 u |
6 u + $6 |
$71 |
| Change |
- 4 u |
- $6 |
|
| After |
3 u |
|
|
Comparing Jean and
Peter in the end |
1x3 =
3 u |
2x3 =
6 u |
|
The amount that Jean had in the end is repeated. Make the amount that Jean had in the end the same. LCM of 3 and 1 is 3.
Total amount that Jean and Peter had at first
= 7 u + 6 u + 6
= 13 u + 6
13 u + 6 = 71
13 u = 71 - 6
13 u = 65
1 u = 65 ÷ 13 = 5
Amount that Peter had at first
= 6 u + 6
= 6 x 5 + 6
= 30 + 6
= $36
Answer(s): $36
