Horse racing

Algebra Level 2

One day, a person went to a horse racing area. Instead of counting the number of humans and horses there were, he counted 74 heads and 196 legs. How many humans and horses were there?

37 humans 98 horses 24 horses 50 humans 24 humans 50 horses 31 horses 74 humans

Jewel Jose by Jewel Jose , 18, United Kingdom

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2 solutions

Mohammad Khaza
Sep 21, 2017

only one option matches with the number of heads and legs-24 horses and 50 humans.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Jewel Jose
Aug 24, 2017

You can solve it by making a simultaneous equation. Humans only have 1 head and horses also only have 1 head, so x + y = 74 (x =number of human heads and y =number of horseheads). Humans have 2 legs and horses have 4 legs, so 2x + 4y = 196 (x = number of human legs and y = number of horse legs).

x + y = 74

2x + 4y = 196

x = 50 and y = 24

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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