“A farmer raises only spiders and horses. When he counts the heads of all his animals he finds 68 heads, when he counts the legs he finds 404. How many spiders and how many horses does he have?”

spider x

horses y

x+y=68 x=68-y ------------------------1

8x+4y=404 -----------------------------2

put value of x in equation 1

8(68-y)+4y=404

544-8y+4y=404

-8y+4y=404-544

-4y=-140

y=-140/-4

y=35

put value of y in 1

x=68-y

= 68-35

= 33

spiders are 33 and horses are 35

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