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jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 270 legs in the house. How many spiders does Jane have if a spider has 8 legs and a beetle has 6 legs?

Sagot :

MrRoyal

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

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