Lynn and Mark had a total of $92. After Lynn spent
14 of her money and Mark spent $2, the ratio of Lynn's money to Kennenth's money became 1 : 2. How much money had Mark at first?
| |
Lynn |
Mark |
Total |
| Before |
4 u |
6 u + $2 |
$92 |
| Change |
- 1 u |
- $2 |
|
| After |
3 u |
|
|
Comparing Lynn and
Mark in the end |
1x3 =
3 u |
2x3 =
6 u |
|
The amount that Lynn had in the end is repeated. Make the amount that Lynn had in the end the same. LCM of 3 and 1 is 3.
Total amount that Lynn and Mark had at first
= 4 u + 6 u + 2
= 10 u + 2
10 u + 2 = 92
10 u = 92 - 2
10 u = 90
1 u = 90 ÷ 10 = 9
Amount that Mark had at first
= 6 u + 2
= 6 x 9 + 2
= 54 + 2
= $56
Answer(s): $56
