Collection 47221

Mr. Smith has 49 specimens of beetles and spiders in his collection. He needs to remember how many bugs and spiders he has, but he knows he has 324 legs in his collection. How many bugs and spiders does he have in his collection? (Hint: First, figure out how many legs a bug has and how many legs a spider has. )

Correct answer:

b =  34
p =  15

Step-by-step explanation:


49=b+p
324 = 6b+8p

49=b+p
324 = 6·b+8·p

b+p = 49
6b+8p = 324

Pivot: Row 1 ↔ Row 2
6b+8p = 324
b+p = 49

Row 2 - 1/6 · Row 1 → Row 2
6b+8p = 324
-0.33p = -5


p = -5/-0.33333333 = 15
b = 324-8p/6 = 324-8 · 15/6 = 34

b = 34
p = 15

Our linear equations calculator calculates it.



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