David and Luke received a total of $180. After David spent
34 of his money and Luke spent
23 of his money, Luke had 2 times as much money as David. How much money did Luke have at first?
| |
David |
Luke |
Total |
Before |
4 u |
3x2 =
6 u |
10 u |
Change |
- 3 u |
- 2x2 =
- 4 u |
|
After |
1 u |
1x2 =
2 u |
|
Comparing David
and Luke in the end |
1 u |
2 u |
|
The amount that Luke had in the end is the same. Make the amount that Luke had in the end the same. LCM of 1 and 2 is 2.
Total amount that Luke and David had at first
= 4 u + 6 u
= 10 u
10 u = 180
1 u = 180 ÷ 10 = 18
Amount that Luke had at first
= 6 u
= 6 x 18
= $108
Answer(s): $108
