Jaslyn and Wesley had a total of $122. After Jaslyn spent
16 of her money and Wesley spent $17, the ratio of Jaslyn's money to Kennenth's money became 1 : 3. How much money had Wesley at first?
|
Jaslyn |
Wesley |
Total |
Before |
6 u |
15 u + $17 |
$122 |
Change |
- 1 u |
- $17 |
|
After |
5 u |
|
|
Comparing Jaslyn and Wesley in the end |
1x5 = 5 u |
3x5 = 15 u |
|
The amount that Jaslyn had in the end is repeated. Make the amount that Jaslyn had in the end the same. LCM of 5 and 1 is 5.
Total amount that Jaslyn and Wesley had at first
= 6 u + 15 u + 17
= 21 u + 17
21 u + 17 = 122
21 u = 122 - 17
21 u = 105
1 u = 105 ÷ 21 = 5
Amount that Wesley had at first
= 15 u + 17
= 15 x 5 + 17
= 75 + 17
= $92
Answer(s): $92