Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Given the initial ratio of cats to dogs is 2:5 and there are 10 cats, we can find the number of dogs:
\[
\text{Let } C \text{ be the number of cats and } D \text{ be the number of dogs.}
\]
\[
C = 10 \text{ cats}
\]
Since the ratio of cats to dogs is 2:5, we can set up the following proportion:
\[
\frac{C}{D} = \frac{2}{5}
\]
Substituting \( C = 10 \):
\[
\frac{10}{D} = \frac{2}{5}
\]
Cross-multiplying to solve for \( D \):
\[
10 \times 5 = 2 \times D \implies 50 = 2D \implies D = \frac{50}{2} = 25
\]
So, initially, there are 10 cats and 25 dogs.
After a group of animals arrives, the new ratio of cats to dogs becomes 5:3. Let the number of new cats be \( x \) and the number of new dogs be \( y \). The new number of cats and dogs are:
\[
10 + x \text{ cats and } 25 + y \text{ dogs}
\]
According to the new ratio:
\[
\frac{10 + x}{25 + y} = \frac{5}{3}
\]
Cross-multiplying to solve for \( x \) and \( y \):
\[
3(10 + x) = 5
\[
\text{Let } C \text{ be the number of cats and } D \text{ be the number of dogs.}
\]
\[
C = 10 \text{ cats}
\]
Since the ratio of cats to dogs is 2:5, we can set up the following proportion:
\[
\frac{C}{D} = \frac{2}{5}
\]
Substituting \( C = 10 \):
\[
\frac{10}{D} = \frac{2}{5}
\]
Cross-multiplying to solve for \( D \):
\[
10 \times 5 = 2 \times D \implies 50 = 2D \implies D = \frac{50}{2} = 25
\]
So, initially, there are 10 cats and 25 dogs.
After a group of animals arrives, the new ratio of cats to dogs becomes 5:3. Let the number of new cats be \( x \) and the number of new dogs be \( y \). The new number of cats and dogs are:
\[
10 + x \text{ cats and } 25 + y \text{ dogs}
\]
According to the new ratio:
\[
\frac{10 + x}{25 + y} = \frac{5}{3}
\]
Cross-multiplying to solve for \( x \) and \( y \):
\[
3(10 + x) = 5
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
