Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.