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

Business A made $2 million profit and Business B made$8 million profit.
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; 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; Substituting the value of y in above equation we get; Hence The equation to find the profit made by business combined is . On Solving above equation we get; profit (in millions) made by business A = profit (in millions) made by business B = Hence Business A made$2 million profit and Business B made \$8 million profit.