Use the circle graph shown below to answer the question. If 210 people said football was their favorite sport to watch, how many people were surveyed.

Question

anonymous · Answer

|dw:1393624081993:dw| 
42% football 
33% baseball 
25% soccer

anonymous · Answer

My graph is a little off, can someone please explain how I would solve this problem?

mertsj · Answer

42 percent of the total choose football
Right?

anonymous · Answer

Yes!

mertsj · Answer

210 people choose football
right?

anonymous · Answer

Yes!

mertsj · Answer

Then 42 percent OF the total = 210
right?

anonymous · Answer

Right :)

mertsj · Answer

Do you know that in mathematics, "of" means times?

anonymous · Answer

multiplication, yes!

mertsj · Answer

So we have:
42% of total = 210

mertsj · Answer

or:
.42t=210

mertsj · Answer

Solve that equation where t is the total number of people in the survey

anonymous · Answer

So divide .42 from both sides to get 
t= 210/.42    ??

anonymous · Answer

But @Mertsj that equals .002 that can't be right ...

mertsj · Answer

$$\frac{210}{.42}\times \frac{100}{100}=\frac{21000}{42}=500$$

mertsj · Answer

You need to type 210 divided by .42 not the other way around.  You divided .42 by 210

jdoe0001 · Answer

$\large \begin{array}{ccllll}
quantity&percentage\
\hline\
210&42\
x&100
\end{array}\implies \bf \cfrac{210}{x}=\cfrac{42}{100}$

anonymous · Answer

Thank you! Got it! Does the 100 represent 100% on the pie chart?

mertsj · Answer

yw