Question

Jonathan collects spiders and beetles. In total, all the insects in his collection have 76 legs and 11 heads. How many of each insect did he collect? (Note: beetles have 6 legs and spiders have 8 legs.)

Answer 1

Let , number of spider = x

And. number of Beetles = y

So,. x + y = 11

x = 11-y. ----------(I)

And , 8x + 6y = 76

=> 8(11-y) + 6y =76. { From (i)}

=> 88-8y+6y =76

=> -2y = 76-88

=> y = -12/-2

= 6

So, the number of beetles is y = 6

And the number of spiders is x = 11-y

= 11-6

= 5