An algebra problem by Naveena AJ

Algebra Level 1

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

37 humans and 98 horses 15 horses 27 humans 31 horses and 74 humans 24 humans and 50 horses 24 horses and 50 humans

Naveena Aj by Naveena AJ , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Syed Baqir
Sep 8, 2015

The last option is correct since:

24 horses and 50 humans have in total 74 heads,

And 24*2 + 50 * 4 = 196 LEGS since horse have 4 legs and man have 2

∴ \therefore satisfies the condition !!

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Naveena Aj
Sep 8, 2015

let number of human=x & horse=y since human & horse have one head each then, x+y=74.....(1) =>x=74-y and human have 2 legs & horses have 4 legs then 2x+4y=196 .....(2) =>2(74-y) +4y=196 =>148 -2y+4y=196 =>2y=196-148 =>2y=48 =>y=48/2 =>y=24 Now, from (1) x+24=74 =>x=74-24 =>x=50 The numbers of human=50 & horses=24

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...