Dana and Valen had a total of $26. After Dana spent
13 of her money and Valen spent $4, the ratio of Dana's money to Kennenth's money became 1 : 4. How much money had Valen at first?
| |
Dana |
Valen |
Total |
| Before |
3 u |
8 u + $4 |
$26 |
| Change |
- 1 u |
- $4 |
|
| After |
2 u |
|
|
Comparing Dana and
Valen in the end |
1x2 =
2 u |
4x2 =
8 u |
|
The amount that Dana had in the end is repeated. Make the amount that Dana had in the end the same. LCM of 2 and 1 is 2.
Total amount that Dana and Valen had at first
= 3 u + 8 u + 4
= 11 u + 4
11 u + 4 = 26
11 u = 26 - 4
11 u = 22
1 u = 22 ÷ 11 = 2
Amount that Valen had at first
= 8 u + 4
= 8 x 2 + 4
= 16 + 4
= $20
Answer(s): $20
