Jean and Warren had a total of $190. After Jean spent
27 of her money and Warren spent $14, the ratio of Jean's money to Kennenth's money became 1 : 3. How much money had Warren at first?
|
Jean |
Warren |
Total |
Before |
7 u |
15 u + $14 |
$190 |
Change |
- 2 u |
- $14 |
|
After |
5 u |
|
|
Comparing Jean and Warren in the end |
1x5 = 5 u |
3x5 = 15 u |
|
The amount that Jean had in the end is repeated. Make the amount that Jean had in the end the same. LCM of 5 and 1 is 5.
Total amount that Jean and Warren had at first
= 7 u + 15 u + 14
= 22 u + 14
22 u + 14 = 190
22 u = 190 - 14
22 u = 176
1 u = 176 ÷ 22 = 8
Amount that Warren had at first
= 15 u + 14
= 15 x 8 + 14
= 120 + 14
= $134
Answer(s): $134