simon added $4.50 to the money in his bank. then his father agreed to double simon's money, which gave him $33. how much money did simon have to begin with?
33/2 = 16.50
16.50 - 4.50 = ?
12
Dollars
To determine how much money Simon had to begin with, we can work backward based on the information provided.
Let's assume Simon's initial amount of money is represented by "x".
According to the given information, Simon added $4.50 to his bank account. Thus, after this addition, Simon's money becomes "x + $4.50".
Then, Simon's father agreed to double his money, resulting in a total of $33. This means that 2 times the amount Simon had after adding $4.50 equals $33.
Mathematically, we can represent this as:
2*(x + $4.50) = $33
Now, we can solve the equation to find the value of "x", which represents Simon's initial amount of money.
First, distribute the 2 to the terms inside the parentheses:
2x + 2*$4.50 = $33
Combine like terms:
2x + $9 = $33
Subtract $9 from both sides of the equation to isolate the variable:
2x = $33 - $9
2x = $24
Divide both sides by 2 to solve for x:
x = $24 / 2
x = $12
Therefore, Simon had $12 to begin with.