Question

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?

Answers

  1. 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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