Answer:
16.875 spiders
Step-by-step explanation:
Given
Let
[tex]B = Beetles[/tex]
[tex]C = Birds[/tex]
[tex]S = Spiders[/tex]
So, we have:
[tex]B = C = S[/tex] --- equal amounts
[tex]6B + 2C + 8S = 270[/tex] --- the legs
Required
The number of spider
Since she has an equal amount of B, C and S;
The expression can be written as:
[tex]6B + 2C + 8S = 270[/tex]
[tex]6S + 2S + 8S = 270[/tex]
[tex]16S = 270[/tex]
Solve for S
[tex]S = \frac{270}{16}[/tex]
[tex]S = 16.875[/tex]
The result of the solution does not represent real life situation because it it is not possible to have a fraction number of spider