Cecil has a mysterious money machine that will double any amount of money placed in it and add $5.00 to the doubled amount. Yesterday, he placed a certian amount of money in the box, got a new amount, then placed the new amount back in the box. Then he had $51.00. How much money did he first place in the mysterious money machine?
To solve this problem, let's break it down step by step.
First, let's assign a variable to the unknown amount of money Cecil first placed in the money machine. Let's say the amount is 'x'.
According to the given information, when Cecil put 'x' amount of money in the machine, it doubled and he received a new amount. This new amount was then placed back in the machine.
After this process, Cecil ended up with $51.00. So, we can set up an equation to represent this:
(x * 2) + 5 = 51
Now let's solve the equation:
First, we need to multiply 'x' by 2:
2x + 5 = 51.
Next, we'll subtract 5 from both sides:
2x = 51 - 5,
2x = 46.
Lastly, we'll divide both sides by 2 to isolate 'x':
2x/2 = 46/2,
x = 23.
Therefore, Cecil initially placed $23.00 in the mysterious money machine.
Machine will:
*double any amount placed inside
*add $5 to the amount that is doubled
*a total of $51 was the end result
Let x = how much money he first placed in the box.
Let 2x = the double amount
2x + 5 = 51
2x = 51 - 5
2x = 46
x = 46/2
x = $23
Done!