Tim and Caden had $928 altogether. After Tim spent
16 of his money and Caden spent
34 of his money, Tim was left with twice as much money as Caden. How much money did Caden have at first?
| |
Tim |
Caden |
Total |
| Before |
6x2 =
12 u |
4x5 =
20 u |
$928 |
| Change |
- 1x2 =
- 2 u |
- 3x5 =
- 15 u |
|
| After |
5x2 =
10 u |
1x5 =
5 u |
|
Comparing Tim
and Caden in the end |
2x5 =
10 u |
1x5 =
5 u |
|
The amount that Tim had in the end is repeated. Make the amount that Tim had in the end the same. LCM of 5 and 2 is 10.
Total amount that Tim and Caden had at first
= 12 u + 20 u
= 32 u
32 u = 928
1 u = 928 ÷ 32 = 29
Amount that Caden had at first
= 20 u
= 20 x 29
= $580
Answer(s): $580
