Question
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 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.
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.
Answers
GPT-4o mini
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.
### 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.