After earning interest, the balance of an account is $420. The new
balance is 7/6 of the original balance. How much interest did it earn?

Respuesta :

By solving the word problem given, the interest that was earned is calculated as: $60.

How to Solve Word Problem?

Given the word problem above, to find how much interest earned, we solve as shown below:

New balance after earning interest = $420

Let the original balance be represented as x

Therefore, we would create the following equation to find the value of x:

7/6 of x = 420

7/6 × x = 420

7/6x = 420

Solve for x by multiplying both sides by 6/7

7/6x  × 6/7 = 420 × 6/7

x = (420 × 6)/7

x = 360

The original balance is $320

Interest = New balance - original balance

Interest = $420 - $320

Interest = $60

Thus, solving the word problem given, the interest that was earned is calculated as: $60.

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