Respuesta :
Answer:
Each of them had $49 at first.
Step-by-step explanation:
Given:
Cedric and Doug each had an equal amount of money.
Let the number of money they had at first be x
Cedric spent = $35
Doug spent = $28
Cedric Money left = [tex]x-35[/tex]
Doug Money left = [tex]x-28[/tex]
the ratio of Cedric money to Doug money was 2:3
Hence the expression can be made as;
[tex]\frac{x-35}{x-28}=\frac{2}{3}[/tex]
Now by cross multiplication method we get;
[tex]3(x-35)=2(x-28)[/tex]
Now we will use distributive property to elaborate the same;
[tex]3x-105=2x-56[/tex]
Combining common terms we get;
[tex]3x-2x=105-56[/tex]
Using Subtraction property we get;
[tex]x= 49[/tex]
Hence $49 they each had at first.
