Question

explain how you can use proportional reasoning to determine the whole if you know that 21 is 60% of the whole

Answer 1

Answer:

6 is the answer.

Step-by-step explanation:

Just did the assignment.

Answer 2

Let the whole number be x.

We have been given that 60% of x is 21. So what proportion is between 60 and 100, the same proportion will be between 21 and x. By using this reasoning we can set these number as proportions.

$\frac{60}{100} =\frac{21}{x}$  

Now let us solve our equation for x by cross multiplication.  

$60\cdot x=21\cdot 100$                  

$60\cdot x=2100$

$x=\frac{2100}{60}=\frac{210}{6}$

$x=35$  

Therefore, our whole number is 35.