Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A farm has cows and ducks. There are 78 feet and 27 heads. How many of each animal are there? How do you know?

Sagot :

kate200468
[tex]one\ cow\ has\ 4\ legs \ \ \ and\ \ \ one\ duck\ has\ 2\ legs\\\\c\ \rightarrow\ the\ number\ of\ the\ cows\\d\ \rightarrow\ the\ number\ of\ the\ ducks\\\\78\ feet\ \ \ \Rightarrow\ \ \ 4c+2d=78\\ 27\ heads\ \ \ \Rightarrow\ \ \ c+d=27\\\\ \left \{ {\big{4c+2d=78\ /:2\ \ } \atop \big{c+d=27\ /\cdot(-1)}} \right. \\\\ \left \{ {\big{2c+d=39\ \ } \atop \big{-c-d=-27}} \right. \\--------\\c=12\\\\c+d=27\ \ \ \Rightarrow\ \ \ d=27-12=15\\\\Ans.\ 12\ cows\ \ and\ \ 15\ ducks[/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.