**Solution:**
Assuming 6 legs for each insect, 19 insects will have 114 legs.

But, there are 126 − 114 = 12 extra legs.

It is important to note that spiders have 8 legs and flies have 6 legs. So, there are 2 extra legs per spider on the web.

Thus, the 12 extra legs belong to 6 spiders.

**Alternative Solution through Equations:**
Let

*s* be the number of spiders and

*f* be the number of flies. Then,

*s* +

*f* = 19; and

8

*s* + 6

*f* = 126.

On solving the above two equations, we get

8

*s* + 6 (19 −

*s*) = 126; or

2

*s* = 126 − (6 × 19).

Thus,

*s* = 6.

**Food for thought:**
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