John and Cody had $891 altogether. After John spent
13 of his money and Cody spent
56 of his money, John was left with five times as much money as Cody. How much money did Cody have at first?
|
John |
Cody |
Total |
Before |
3x5 = 15 u |
6x2 = 12 u |
$891 |
Change |
- 1x5 = - 5 u |
- 5x2 = - 10 u |
|
After |
2x5 = 10 u |
1x2 = 2 u |
|
Comparing John and Cody in the end |
5x2 = 10 u |
1x2 = 2 u |
|
The amount that John had in the end is repeated. Make the amount that John had in the end the same. LCM of 2 and 5 is 10.
Total amount that John and Cody had at first
= 15 u + 12 u
= 27 u
27 u = 891
1 u = 891 ÷ 27 = 33
Amount that Cody had at first
= 12 u
= 12 x 33
= $396
Answer(s): $396