# Ratio and proportion

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About 9 out of 10 adults think it is a good idea to exercise regularly. But the ones who think it is a good idea, only 1 in 6 actually exercises at least 3 times a week. At this rate, how many of the 300 employees in our company exercise regularly?

What I did so far was write this:

9/10 = x/300
x=270

• Ratio and proportion -

That's a good start.

1/6 = x/270

• Ratio and proportion -

The answer depends upon how one defines "regularly". If they mean "at least three times a week", the answer is
(9/10)*(1/6)*300 = 45

• Ratio and proportion -

(1/6)(9/10)(300)
= 45

not really a proportion problem

• Ratio and proportion -

How do I state this question?
Is it..
- At least 45 employees exercise regularly out of that rate

• Ratio and proportion -

About 45 employees in the company exercise regularly

• Ratio and proportion -

It's because of the different rates that confuse me.

• Ratio and proportion -

well, 9/10 of the 300 want to do it
and (1/6) of that (9/10) actually do it
so 1/6 * 9/10 * 300

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