Question
The rat of rabbit to fox is 200:3. If there are 1000foxed how many rabbits are there
Answers
GPT-4o mini
To find the number of rabbits when there are 1000 foxes, we can use the ratio provided. The ratio of rabbits to foxes is 200:3.
We can set up a proportion based on the given ratio. Let \( r \) represent the number of rabbits. Thus, we can set up the following equation based on the ratio:
\[
\frac{r}{1000} = \frac{200}{3}
\]
Now, we can cross-multiply to solve for \( r \):
\[
3r = 200 \times 1000
\]
Calculating the right side:
\[
3r = 200000
\]
Now, divide both sides by 3 to isolate \( r \):
\[
r = \frac{200000}{3}
\]
Calculating this gives:
\[
r \approx 66666.67
\]
Since the number of rabbits must be a whole number, we can either round down to 66666 or express it as a fraction. However, in real-world scenarios, we would typically round to the nearest whole number. So there would be approximately **66,667 rabbits** when there are 1000 foxes.
We can set up a proportion based on the given ratio. Let \( r \) represent the number of rabbits. Thus, we can set up the following equation based on the ratio:
\[
\frac{r}{1000} = \frac{200}{3}
\]
Now, we can cross-multiply to solve for \( r \):
\[
3r = 200 \times 1000
\]
Calculating the right side:
\[
3r = 200000
\]
Now, divide both sides by 3 to isolate \( r \):
\[
r = \frac{200000}{3}
\]
Calculating this gives:
\[
r \approx 66666.67
\]
Since the number of rabbits must be a whole number, we can either round down to 66666 or express it as a fraction. However, in real-world scenarios, we would typically round to the nearest whole number. So there would be approximately **66,667 rabbits** when there are 1000 foxes.