Tommy and Caden had $731 altogether. After Tommy spent
15 of his money and Caden spent
56 of his money, Tommy was left with twice as much money as Caden. How much money did Caden have at first?
|
Tommy |
Caden |
Total |
Before |
5x1 = 5 u |
6x2 = 12 u |
$731 |
Change |
- 1x1 = - 1 u |
- 5x2 = - 10 u |
|
After |
4x1 = 4 u |
1x2 = 2 u |
|
Comparing Tommy and Caden in the end |
2x2 = 4 u |
1x2 = 2 u |
|
The amount that Tommy had in the end is repeated. Make the amount that Tommy had in the end the same. LCM of 4 and 2 is 4.
Total amount that Tommy and Caden had at first
= 5 u + 12 u
= 17 u
17 u = 731
1 u = 731 ÷ 17 = 43
Amount that Caden had at first
= 12 u
= 12 x 43
= $516
Answer(s): $516