One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are there?
2006-11-13 03:08:44 · 5 answers · asked by pyromaniac652 1 in Science & Mathematics ➔ Mathematics
x+y=74
2x+4y=196
2x+2y=148
subtracting
2y=48
y=24
sub x=50
so 50 humans and 24 horses
2006-11-13 03:13:18 · answer #1 · answered by raj 7 · 0⤊ 0⤋
It all boils down to an equations like this
Let x be the no. of humans
Let y be the no. of horses.
x+y=74
2x+4y=196
2[74-y]+4y=196
2y
=196-148
=48
y=24
x=50
verify
2*50+4*24
=100+96
=196
ok
2006-11-13 03:28:09 · answer #2 · answered by openpsychy 6 · 0⤊ 0⤋
74 people-one head per person
49 horses- 4 legs per horse 196/4=49
2006-11-13 03:13:23 · answer #3 · answered by neinmom2one 3 · 0⤊ 0⤋
x=people
y=horses
x+y=74
people have 2 legs, horses have 4 so
2x+4y=196
x+2y=98
x=74-y
74-y+2y=98
y=24 horses
x=74-y=74-24=50 humans.
check
2*50+4*24=100+96=196
2006-11-13 03:16:45 · answer #4 · answered by yupchagee 7 · 0⤊ 0⤋
let xbe no. of human
y be no. of horses
x+y=74....(1)
2x+4y=196...(2)
multiply (1) by2 & subtract from (2)
2x+4y-2x-2y=196-148
2y=48
y=24
x=50
2006-11-13 03:15:44 · answer #5 · answered by Dupinder jeet kaur k 2 · 0⤊ 0⤋