Ivory and Ken had a total of $158. After Ivory spent
14 of her money and Ken spent $4, the ratio of Ivory's money to Kennenth's money became 1 : 6. How much money had Ken at first?
| |
Ivory |
Ken |
Total |
| Before |
4 u |
18 u + $4 |
$158 |
| Change |
- 1 u |
- $4 |
|
| After |
3 u |
|
|
Comparing Ivory and
Ken in the end |
1x3 =
3 u |
6x3 =
18 u |
|
The amount that Ivory had in the end is repeated. Make the amount that Ivory had in the end the same. LCM of 3 and 1 is 3.
Total amount that Ivory and Ken had at first
= 4 u + 18 u + 4
= 22 u + 4
22 u + 4 = 158
22 u = 158 - 4
22 u = 154
1 u = 154 ÷ 22 = 7
Amount that Ken had at first
= 18 u + 4
= 18 x 7 + 4
= 126 + 4
= $130
Answer(s): $130
