David and Luke had $897 altogether. After David spent
16 of his money and Luke spent
23 of his money, David was left with four times as much money as Luke. How much money did Luke have at first?
| |
David |
Luke |
Total |
| Before |
6x4 =
24 u |
3x5 =
15 u |
$897 |
| Change |
- 1x4 =
- 4 u |
- 2x5 =
- 10 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing David
and Luke in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that David had in the end is repeated. Make the amount that David had in the end the same. LCM of 5 and 4 is 20.
Total amount that David and Luke had at first
= 24 u + 15 u
= 39 u
39 u = 897
1 u = 897 ÷ 39 = 23
Amount that Luke had at first
= 15 u
= 15 x 23
= $345
Answer(s): $345
