Luis and Archie had $750 altogether. After Luis spent
13 of his money and Archie spent
23 of his money, Luis was left with thrice as much money as Archie. How much money did Archie have at first?
| |
Luis |
Archie |
Total |
| Before |
3x3 =
9 u |
3x2 =
6 u |
$750 |
| Change |
- 1x3 =
- 3 u |
- 2x2 =
- 4 u |
|
| After |
2x3 =
6 u |
1x2 =
2 u |
|
Comparing Luis
and Archie in the end |
3x2 =
6 u |
1x2 =
2 u |
|
The amount that Luis had in the end is repeated. Make the amount that Luis had in the end the same. LCM of 2 and 3 is 6.
Total amount that Luis and Archie had at first
= 9 u + 6 u
= 15 u
15 u = 750
1 u = 750 ÷ 15 = 50
Amount that Archie had at first
= 6 u
= 6 x 50
= $300
Answer(s): $300
