Xavier and Archie had $2006 altogether. After Xavier spent
16 of his money and Archie spent
67 of his money, Xavier was left with four times as much money as Archie. How much money did Archie have at first?
| |
Xavier |
Archie |
Total |
| Before |
6x4 =
24 u |
7x5 =
35 u |
$2006 |
| Change |
- 1x4 =
- 4 u |
- 6x5 =
- 30 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing Xavier
and Archie in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that Xavier had in the end is repeated. Make the amount that Xavier had in the end the same. LCM of 5 and 4 is 20.
Total amount that Xavier and Archie had at first
= 24 u + 35 u
= 59 u
59 u = 2006
1 u = 2006 ÷ 59 = 34
Amount that Archie had at first
= 35 u
= 35 x 34
= $1190
Answer(s): $1190
