Answer:
The equation to find the profit made by business combined is
.
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](https://tex.z-dn.net/?f=y%20%3D4x)
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](https://tex.z-dn.net/?f=x%2By%20%3D10%5C%20million)
Substituting the value of y in above equation we get;
![x+4x = 10](https://tex.z-dn.net/?f=x%2B4x%20%3D%2010)
Hence The equation to find the profit made by business combined is
.
On Solving above equation we get;
![5x =10\\\\x =\frac{10}{5} = \$2 \ million](https://tex.z-dn.net/?f=5x%20%3D10%5C%5C%5C%5Cx%20%3D%5Cfrac%7B10%7D%7B5%7D%20%3D%20%5C%242%20%5C%20million)
profit (in millions) made by business A = ![\$2 \ million](https://tex.z-dn.net/?f=%5C%242%20%5C%20million)
profit (in millions) made by business B = ![4x =4\times 2 =\$8 \ million](https://tex.z-dn.net/?f=4x%20%3D4%5Ctimes%202%20%3D%5C%248%20%5C%20million)
Hence Business A made $2 million profit and Business B made $8 million profit.