while visiting a friend's home, i saw kittens and children playing in the backyard. counting heads, i got 11. counting feet, i got 32. how many kittens and how many children were in the backyard?

Question

Mathematics

Ashly

22 December, 20:18

while visiting a friend's home, i saw kittens and children playing in the backyard. counting heads, i got 11. counting feet, i got 32. how many kittens and how many children were in the backyard?

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Answers (1)

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Tiffany Hart · Answer 1

There are 5 cats and 6 children

Step-by-step explanation:

Let x = number of cats

Let y = number of children

Counting heads gives 11

X+Y = 11 ... eq1

Counting feet gives 32

Cats has 4legs, child has 2 legs

4X + 2Y=32 ... eq2

X = 11 - Y

Put in eq2

4 (11-Y) + 2Y = 32

44 - 4Y + 2Y=32

12=2Y

Y=12/2=6

Y=6 = Children

Put Y=6 in eq2

X + 6=11

X=11-6=5

X = 5 = cats