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

Answer 1

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.