Establishes 5921

The boy establishes collections of spiders and beetles. So far, he has only a total of 8. When asked how many beetles he has, he replied: "My entire collection has 54 legs. "How many spiders and how many beetles?

Correct answer:

b =  5
p =  3

Step-by-step explanation:


p+b = 8
54 = 8p + 6b

p+b = 8
54 = 8·p + 6·b

b+p = 8
6b+8p = 54

Pivot: Row 1 ↔ Row 2
6b+8p = 54
b+p = 8

Row 2 - 1/6 · Row 1 → Row 2
6b+8p = 54
-0.33p = -1


p = -1/-0.33333333 = 3
b = 54-8p/6 = 54-8 · 3/6 = 5

b = 5
p = 3

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: