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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jitumahi76 jitumahi76 · Answer 1 · 2020-03-17T03:00:42+01:00

Answer:

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

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;

[tex]y =4x[/tex]

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;

[tex]x+y =10\ million[/tex]

Substituting the value of y in above equation we get;

[tex]x+4x = 10[/tex]

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

On Solving above equation we get;

[tex]5x =10\\\\x =\frac{10}{5} = \$2 \ million[/tex]

profit (in millions) made by business A = [tex]\$2 \ million[/tex]

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

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