Final answer:
Mark and George spend a total of $45.00 on trading cards. Mark spends three more than half of what George spends. George spends $28.00 on trading cards.
Step-by-step explanation:
In this problem, we have two people, Mark and George, who spend a total of $45.00 on trading cards. It is given that Mark spends three more than half of what George spends. Let's assume that George spends 'x' dollars on trading cards. Therefore, Mark spends half of what George spends plus three more, which is (1/2)x + 3 dollars.
The sum of the amounts spent by Mark and George is $45.00. So, we can write the equation as (1/2)x + 3 + x = 45. Solving this equation will give us the value of 'x', which represents the amount George spends on trading cards.
To solve the equation, we can combine like terms to get (3/2)x + 3 = 45. Next, we can subtract 3 from both sides to get (3/2)x = 42. Then, we can multiply both sides by 2/3 to cancel out the coefficient of x and get x = 28.
Therefore, George spends $28.00 on trading cards.