Gwen and Henry had a total of $81. After Gwen spent
25 of her money and Henry spent $4, the ratio of Gwen's money to Kennenth's money became 1 : 2. How much money had Henry at first?
| |
Gwen |
Henry |
Total |
| Before |
5 u |
6 u + $4 |
$81 |
| Change |
- 2 u |
- $4 |
|
| After |
3 u |
|
|
Comparing Gwen and
Henry in the end |
1x3 =
3 u |
2x3 =
6 u |
|
The amount that Gwen had in the end is repeated. Make the amount that Gwen had in the end the same. LCM of 3 and 1 is 3.
Total amount that Gwen and Henry had at first
= 5 u + 6 u + 4
= 11 u + 4
11 u + 4 = 81
11 u = 81 - 4
11 u = 77
1 u = 77 ÷ 11 = 7
Amount that Henry had at first
= 6 u + 4
= 6 x 7 + 4
= 42 + 4
= $46
Answer(s): $46
