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 200 Over 100 EndFraction
  
  
​(Do not​ divide.)
Part 2
Solve.
There were
  
w rabbits last year.

Answer 1

Let's break this down step by step.

Part 1: Write the percent proportion.

The proportion can be written as:

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

Part 2: Solve for \( w \).

We can simplify the right side of the proportion:

\[ \frac{200}{100} = 2 \]

So, the equation becomes:

\[ \frac{700}{w} = 2 \]

Now, we can solve for \( w \) by cross-multiplying:

\[ 700 = 2w \]

Next, divide both sides by 2:

\[ w = \frac{700}{2} = 350 \]

Thus, there were 350 rabbits last year.