Sabrina and Jack had a total of $162. After Sabrina spent
37 of her money and Jack spent $10, the ratio of Sabrina's money to Kennenth's money became 1 : 3. How much money had Jack at first?
| |
Sabrina |
Jack |
Total |
| Before |
7 u |
12 u + $10 |
$162 |
| Change |
- 3 u |
- $10 |
|
| After |
4 u |
|
|
Comparing Sabrina and
Jack in the end |
1x4 =
4 u |
3x4 =
12 u |
|
The amount that Sabrina had in the end is repeated. Make the amount that Sabrina had in the end the same. LCM of 4 and 1 is 4.
Total amount that Sabrina and Jack had at first
= 7 u + 12 u + 10
= 19 u + 10
19 u + 10 = 162
19 u = 162 - 10
19 u = 152
1 u = 152 ÷ 19 = 8
Amount that Jack had at first
= 12 u + 10
= 12 x 8 + 10
= 96 + 10
= $106
Answer(s): $106
