SOLUTION: Need help translating word problem Carlos began with twice as much money as David had. After Carlos gave $12 to David, Carlos still had $10 more than David. How much money did

Algebra ->  Finance -> SOLUTION: Need help translating word problem Carlos began with twice as much money as David had. After Carlos gave $12 to David, Carlos still had $10 more than David. How much money did      Log On


   



Question 1117295: Need help translating word problem
Carlos began with twice as much money as David had.
After Carlos gave $12 to David, Carlos still had $10 more than David.
How much money did they have combined at the start
The correct answer is
Let x=the number of dollars David had to start
If Carlos started with twice as much money as David then Carlos started with 2x dollars. After Carlos gave David $12, Carlos had 2x-12 dollars and David had x + 12 dollars. If Carlos still had $10 more than David, then
2x - 12 = 10 + x +12
MY QUESTION:
If Carlos still had $10 more than David, why is it specified to the right of the equal sign in David’s expression?
Thanks in advance.

Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
At the start
CARLOS
2x
DAVID
x


The $12 transfer from Carlos to David:
2x-12=10%2B%28x%2B12%29
2x-12=x%2B22
2x=x%2B22%2B12
2x=34
x=34

David originally had 34 dollars.
Carlos originally had 68 dollars.
Combined: $102