A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making $$4 times a

Question

A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making $$4 times as much profit as business A. Let $$x and $$y be the profits ( in millions) of business A and business B respectively. 2a Use the fact that the two businesses made a combined profit of $$$10 million to set up an equation involving $$x

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Sarah 3 days 2021-09-11T21:54:04+00:00 1 Answer 0

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    2021-09-11T21:55:13+00:00

    Answer:

    The equation to find the profit made by business combined is x+4x = 10.

    Business A made $2 million profit and Business B made $8 million profit.

    Step-by-step explanation:

    Given:

    Profit made in previous financial year = $10 million

    We need to write an equation to find the profit made by the business.

    Solution:

    Let the profit (in millions) made by  business A be ‘x’.

    Let the profit (in millions) made by  business B be ‘y’.

    Now given:

    business B making 4 times as much profit as business A.

    so we can say that;

    y =4x

    Now we know that;

    Profit made in previous financial year is equal to sum of profit (in millions) made by  business A and profit (in millions) made by  business B.

    framing in equation form we get;

    x+y =10\ million

    Substituting the value of y in above equation we get;

    x+4x = 10

    Hence The equation to find the profit made by business combined is x+4x = 10.

    On Solving above equation we get;

    5x =10\\\\x =\frac{10}{5} = \$2 \ million

    profit (in millions) made by  business A = \$2 \ million

    profit (in millions) made by  business B = 4x =4\times 2 =\$8 \ million

    Hence Business A made $2 million profit and Business B made $8 million profit.

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