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Oksi-84 [34.3K]
3 years ago
9

Onece a person had gone for a horse racing area. Instead of counting the number of humans an horses, he counted 74 heads and 196

legs. How many humans and horses were there?
A.
37 humans and 98 horses

B.
24 horses and 50 humans

C.
31 horses and 74 humans

D.
24 humans and 50 horses
Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

humans: x

horses: y

Heads: 1x + 1y =  74     ⇒   -2(1x + 1y =  74)    ⇒    -2x -2y = -148

Legs:   2x + 4y = 196   ⇒     1(2x + 4y = 196)   ⇒  <u> 2x + 4y</u> = <u>196 </u>

                                                                                        2y = 48

                                                                                           y = 24

Heads: 1x + 1y =  74   ⇒   x + (24) = 74   ⇒   x = 50

Answer: humans = 50, horses = 24

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