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A farmer has cows and ducks on a truck. These are the only creatures on the truck. Altogether, there are 15 heads and 44 legs on the truck. How many cows are on the truck? How many ducks?
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7 cows 8 ducks
How do you know ?
x is the cows y is the ducks x+y = 15 cows have 4 legs ducks have 2 4x+2y=44 multiply the first equation by 2 2x+2y =30 4x+2y=44 -2x=-14 divide each side by -2 x=7 plug x=7 into the first equation, x+y=15 7+y=15 y=8 so there are 7 cows and 8 ducks
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