Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive 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 appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.