Archie and Tim had $954 altogether. After Archie spent
16 of his money and Tim spent
67 of his money, Archie was left with thrice as much money as Tim. How much money did Tim have at first?
| |
Archie |
Tim |
Total |
| Before |
6x3 =
18 u |
7x5 =
35 u |
$954 |
| Change |
- 1x3 =
- 3 u |
- 6x5 =
- 30 u |
|
| After |
5x3 =
15 u |
1x5 =
5 u |
|
Comparing Archie
and Tim in the end |
3x5 =
15 u |
1x5 =
5 u |
|
The amount that Archie had in the end is repeated. Make the amount that Archie had in the end the same. LCM of 5 and 3 is 15.
Total amount that Archie and Tim had at first
= 18 u + 35 u
= 53 u
53 u = 954
1 u = 954 ÷ 53 = 18
Amount that Tim had at first
= 35 u
= 35 x 18
= $630
Answer(s): $630
