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Hi, can you help me solve this word problem?A certain pet store sells only dogs and birds. They have a total of 71 animals in the store currently A story employee walked around and counted a total of 246 legs. How many of the animals are dogs?

Answer :

Let d = number of dogs

b = number of birds

d+b = 71

Birds have 2 legs and dogs have 4 legs

4d+2b = 246

Multiply the first equation by -2

-2d-2b = -142

Add this to the second equation

-2d-2b = -142

4d+2b = 246

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2d + 0b = 104

Divide each side by 2

2d/2 = 104/2

d = 52

There are 52 dogs

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