Question

After earning interest, the balance of an account is $420. The new balance is 76% of the original balance. Write an equation that can be used to find the original balance of the account.

(A) 0.76 times the original balance equals $420.
(B) The original balance minus 0.76 equals $420.
(C) 1.24 times the original balance equals $420.
(D) The original balance times 0.76 equals $420.

Answer 1

The original balance of the account can be found by setting up the equation 0.76x = $420 and solving for x. The approximate value of the original balance is $552.63.

Step-by-step explanation:

To find the original balance of the account, we can set up an equation. Let's use variable x to represent the original balance. We know that the new balance is 76% of the original balance, which means it can be expressed as 0.76 times the original balance. Setting up the equation, we have:

0.76x = $420

To solve for x, we can divide both sides of the equation by 0.76:

x = $420 ÷ 0.76 ≈ $552.63

So, the original balance of the account is approximately $552.63.