Question

Question content area top
Part 1
The rabbit population in a certain area is 500​% of last​ year's population. There are 1 comma 100 rabbits this year. How many were there last​ year?
Question content area bottom
Part 1
Write the percent proportion.
StartFraction 1 comma 100 Over w EndFraction
equalsStartFraction nothing Over nothing EndFraction
  
  
​(Do not​ divide.)

Answer 1

To find how many rabbits were there last year, we start with the information given:

The rabbit population this year (1,100) is 500% of last year's population (let's denote last year's population as \( w \)).

We can express this relationship as:

\[
1,100 = 5 \times w
\]

This is because 500% is equivalent to 5 (since \( 500/100 = 5 \)).

Now, we can express the percent proportion as follows:

\[
\frac{1,100}{w} = \frac{500}{100}
\]

So, the complete equation looks like:

\[
\frac{1,100}{w} = \frac{500}{100}
\]

This proportion shows the relationship between this year's rabbit population and last year's rabbit population in terms of percentage.

To find \( w \), we can rearrange the equation:

\[
1,100 = 5 \times w \implies w = \frac{1,100}{5} = 220
\]

Therefore, there were **220 rabbits last year**.