When it says, "Paulo has a certain amount of money. If he spends six dollars, then he has 1/4 of the original amount left."
So would the equation be n-6=1/4?
n - 6 = (1/4)n
Okay, but I was stuck when trying to find the answer.
My process was:
n-6=(1/4)n
n=(6^1/4)n
at this step I am stuck to know what to do next. Please help.
n - 6 = (1/4)n
Subtract (1/4)n from both sides,
Add 6 to both sides.
(3/4)n = 6
n = 6 / (3/4)
n = 6 * (4/3)
n = 24/3 = 8
Wait. How could you add 6 on both sides if the (1/4)n has been subtracted on both sides?
To solve this problem, we can set up an equation based on the information given. Let's assume the original amount of money Paulo has is represented by the variable "n".
According to the statement, if Paulo spends six dollars, he will have 1/4 of the original amount left. This means that the remaining amount of money is 1/4 of the original amount, or (1/4)n.
To represent this in an equation, we can set up the equation as follows:
n - 6 = (1/4)n
In this equation, the left side represents the amount of money Paulo has left after spending six dollars, and the right side represents 1/4 of the original amount.
Now, to solve for "n", we can start by simplifying the equation:
n - (1/4)n = 6
Multiplying both sides of the equation by 4 to eliminate the fraction:
4n - n = 24
Simplifying further:
3n = 24
Finally, we can solve for "n" by dividing both sides of the equation by 3:
n = 24/3 = 8
Therefore, the original amount of money Paulo had is 8 dollars.