The rabbit population in a certain area is 200​% of last​ year's population. There are 700 rabbits this year. How many were there last​ year?

Question

Question content area bottom
Part 1
Write the percent proportion.
StartFraction 700 Over w EndFraction
equalsStartFraction nothing Over nothing EndFraction
  
  
​(Do not​ divide.)

Answer 1

To find the last year's rabbit population (let's call it \( w \)), we know that this year's rabbit population is 200% of last year's population.

This means we can express the relationship using a proportion:

\[ \frac{700}{w} = \frac{200}{100} \]

The proportion can be simplified as follows:

• The total "parts" represented by 200% is 200 parts out of 100 parts.

So our proportion set up looks like:

\[ \frac{700}{w} = \frac{200}{100} \]

Thus, the percent proportion you need is:

\[ \frac{700}{w} = \frac{200}{100} \]

This equation can now be used to find the value of \( w \).