Search Results for "Ruth has some money in a savings account. after the bank adds 5% interest to her account , she has $126. How much was in her account before the interest was added"

How do i write this in an equation?

1.05x = 126

x = 126/1.05

x = ?

Let's assume that the amount of money in Ruth's account before the interest was added is represented by variable 'x'.

According to the information given, the bank added 5% interest to her account, resulting in a new balance of $126.

To write this situation as an equation, we need to calculate the amount of interest added to her account. The interest added is 5% of the original amount, which can be expressed as 0.05x.

The equation can be formed as:
x + 0.05x = 126

Simplifying the equation:
1.05x = 126

To find the value of 'x', we can divide both sides of the equation by 1.05:
x = 126 / 1.05

Evaluating the expression:
x ≈ $120

Therefore, Ruth had approximately $120 in her account before the interest was added.

To write this situation as an equation, let's first assign a variable to the amount of money Ruth had in her savings account before the interest was added. Let's call this variable "x".

According to the given information, Ruth's account balance increased by 5% after the bank added interest. We can represent this as an equation:

x + (5% of x) = $126

To calculate 5% of x, we multiply x by 0.05 (since 5% is equivalent to 0.05). Therefore, the equation becomes:

x + 0.05x = $126

Simplifying the equation gives us:

1.05x = $126

Now, to find the value of x, we divide both sides by 1.05:

x = $126 / 1.05

Calculating this will give us the amount of money Ruth had in her account before the interest was added.