Billy and Henry had $220 altogether. After Billy spent
15 of his money and Henry spent
23 of his money, Billy was left with twice as much money as Henry. How much money did Henry have at first?
|
Billy |
Henry |
Total |
Before |
5x1 = 5 u |
3x2 = 6 u |
$220 |
Change |
- 1x1 = - 1 u |
- 2x2 = - 4 u |
|
After |
4x1 = 4 u |
1x2 = 2 u |
|
Comparing Billy and Henry in the end |
2x2 = 4 u |
1x2 = 2 u |
|
The amount that Billy had in the end is repeated. Make the amount that Billy had in the end the same. LCM of 4 and 2 is 4.
Total amount that Billy and Henry had at first
= 5 u + 6 u
= 11 u
11 u = 220
1 u = 220 ÷ 11 = 20
Amount that Henry had at first
= 6 u
= 6 x 20
= $120
Answer(s): $120