Question

10/8 = n/10 proportions please

Answer 1

`\displaystyle n=(25)/(2)`

Explanation:

A proportion is a set of equal ratios.

Cross Multiplication

The most common (and easiest) way to solve a proportion is cross multiplication. To cross-multiply, multiply the numerators by the opposite denominators. So, you are multiplying across the proportion.

After cross multiplying you get 10*10 = 8n.

Solving For n

Now, we can use algebra to find n.

• 100 = 8n

Just, divide both sides by 8.

• 
  `n=(100)/(8)`

Then, simplify.

• 
  `n=(25)/(2)`

Checking The Answer

To check your answer all you have to do is plug n back into the equation.

• 
  `(10)/(8)=(25/2)/(10)`

This can be rewritten as

• 
  `(10)/(8)= (25)/(2) *(1)/(10)`

Then, the right side can be solved.

• 
  `(10)/(8)= (10)/(8)`