Eva and Japheth had a total of $24. After Eva spent
14 of her money and Japheth spent $4, the ratio of Eva's money to Kennenth's money became 1 : 2. How much money had Japheth at first?
| |
Eva |
Japheth |
Total |
| Before |
4 u |
6 u + $4 |
$24 |
| Change |
- 1 u |
- $4 |
|
| After |
3 u |
|
|
Comparing Eva and
Japheth in the end |
1x3 =
3 u |
2x3 =
6 u |
|
The amount that Eva had in the end is repeated. Make the amount that Eva had in the end the same. LCM of 3 and 1 is 3.
Total amount that Eva and Japheth had at first
= 4 u + 6 u + 4
= 10 u + 4
10 u + 4 = 24
10 u = 24 - 4
10 u = 20
1 u = 20 ÷ 10 = 2
Amount that Japheth had at first
= 6 u + 4
= 6 x 2 + 4
= 12 + 4
= $16
Answer(s): $16
