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In Aunt Melly’s attics there are also spiders and ants, the total of 136 legs and 20 heads. If a spider has 8 legs and an ant has 6 legs, how many spiders and how many ants are there? help please in 5 min to 10 min

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texaschic101

I would say Aunt Melly needs an exterminator...lol

there are 20 heads...so u know there r gonna be 20 insects total
spiders (s) have 8 legs and ants (a) have 6 legs

s + a = 20 heads......s = 20 - a
8s + 6a = 136 legs

8(20 - a) + 6a = 136
160 - 8a + 6a = 136
-8a + 6a = 136 - 160
-2a = -24
a = -24/-2
a = 12

s + a = 20
s + 12 = 20
s = 20 - 12
s = 8

so there r 8 spiders and 12 ants

there are 20 heads...so u know there r gonna be 20 insects total

spiders (s) have 8 legs and ants (a) have 6 legs

s + a = 20 heads......s = 20 - a

8s + 6a = 136 legs

8(20 - a) + 6a = 136

160 - 8a + 6a = 136

-8a + 6a = 136 - 160

-2a = -24

a = -24/-2

a = 12

s + a = 20

s + 12 = 20

s = 20 - 12

s = 8

so there r 8 spiders and 12 ants

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