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28 March, 16:14

Two friends, Darren and Michael, together earn $30 more than twice what Brian earns per month. If Darren and Michael together earn $3,800, how much does Brian earn? Answer Choices

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  1. 28 March, 18:27
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    Lets assign some variables: Let

    y = Darren + Michael

    x = Brian.

    Given:

    y = 2x + 30 (Darren and Michael [y] earn [=] 30 more than[+30] twice what Brian earns[2x])

    y = 3800 (Darren and Michael [y] earn [=] $3800)

    Solve for x: What Brian earns.

    I will solve this by substitution. Plugging in 3800 for y:

    3800 = 2x + 30 subtract 30 from both sides

    3770 = 2x divide by 2 on both sides

    1885 = x flip the equation

    x = 1885

    Brian earns $1885 per month.
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