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17 February, 00:37

James and Lin got married and got new jobs. Lin earns $3500 more per year than James. Together they earn $82,320. How much does each of them earn per year?

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Answers (2)
  1. 17 February, 01:26
    0
    James earns $39,410 a year.

    Lin earns $42,910 a year.

    Step-by-step explanation:

    You can answer this by setting up a system of equations.

    Let's say we have j, for James, and l, for Lin.

    Lin earns $3,500 more than James per year. Let's put that into an equation.

    j+3500 = l

    And, together, they earn $82,320. Let's put that into an equation too.

    j+l = 82320

    We can take what we got from our first equation and plug that into the second one.

    j + (j+3500) = 82320

    2j+3500 = 82320

    2j = 78820

    j = 39410

    Now we know that James earns $39,410 a year. All we have to do is add $3,500.

    39410+3500 = 42910

    We'll double check by adding Lin's and James' incomes together.

    42910+39410=82320

    Therefore ...

    James earns $39,410 a year.

    Lin earns $42,910 a year.
  2. 17 February, 04:00
    0
    James earn = $39410, Lin earn = $42910.

    Step-by-step explanation:

    Given : Lin earns $3500 more per year than James. Together they earn $82,320.

    To find : How much does each of them earn per year.

    Solution : We have given

    Lin earns $3500 more per year than James.

    According to question:

    Let the James earn per year = x.

    Lin earn per year = 3500 + x.

    So, Together they earn $82,320.

    James earning + Lin earning = $82,320.

    Plugging the values.

    x + 3500 + x = $82,320.

    2x + 3500 = $82,320.

    On subtracting both sides by 3500

    2x = $82,320 - 3500.

    2x = 78820

    On dividng both sides by 2

    x = 39410.

    James earn = $39410.

    Lin earn = $39410 + 3500

    Lin earn = $42910.

    Therefore, James earn = $39410, Lin earn = $42910.
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