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?
+37084 74 heads means there are 74 critters there (people and horses)
x = horses 4x = legs
74-x = people 2 (74-x) = people legs
assuming every person has 2 legs and every horse has 4 legs , the sum of the legs is 196
4x + 2(74-x) = 196
4x + 148- 2x = 196
2x = 48
x = horses = 24 74-24 = people = 50 people
+129839 Let A = number of humans and B = number of horses
And we know
A + B = 74 → B = 74 - A (1)
2A + 4B = 196 (2)
Sub (1) into (2)
2A + 4(74 - A) = 196 simplify
2A + 296 - 4 A = 196
-2A + 296 = 196 subtract 296 from both sides
-2A = -100 divide both sides by - 2
A = 50 = humans
74 - 50 = 24 = horses
