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A farmhouse shelters 15 animals. Some are goats and some are ducks. Altogether there are 42 legs. How many of each animal are there?

Use the variable g to represent goats
Use the variable d to represent ducks

Part A: Create a system of equations that can model this scenario.

Part B: Solve the system of equations Algebraically

** Hints **
Equation #1 will need to represent the total number of animals
Equation #2 will need to represent the number of legs a goat has and the number of legs a duck has.

Sagot :

Explanation Answer

Systems of Equations Word Problems Around the Farm! 1. There are rabbits and turkeys at a farm, 41 heads and 132 legs in all. A farmhouse shelters 10 animals. Some are ducks. Altogether there are 36 legs. How many of each animal are ... 2(x+y=11). X= goats (4хtzy 34. Legoats. 5 y= ducks 2x+2y = 22 ducks). 2x. =.