Xandra and Ken had a total of $178. After Xandra spent
27 of her money and Ken spent $18, the ratio of Xandra's money to Kennenth's money became 1 : 5. How much money had Ken at first?
| |
Xandra |
Ken |
Total |
| Before |
7 u |
25 u + $18 |
$178 |
| Change |
- 2 u |
- $18 |
|
| After |
5 u |
|
|
Comparing Xandra and
Ken in the end |
1x5 =
5 u |
5x5 =
25 u |
|
The amount that Xandra had in the end is repeated. Make the amount that Xandra had in the end the same. LCM of 5 and 1 is 5.
Total amount that Xandra and Ken had at first
= 7 u + 25 u + 18
= 32 u + 18
32 u + 18 = 178
32 u = 178 - 18
32 u = 160
1 u = 160 ÷ 32 = 5
Amount that Ken had at first
= 25 u + 18
= 25 x 5 + 18
= 125 + 18
= $143
Answer(s): $143
