Respuesta :
There are 72 pond critters in the aquarium. There are 24 caddis fly larvae, 18 tadpoles, 12 diving beetles, and 12 whirligig beetles in the aquarium.
There are caddis fly larvae, diving beetles, whirligig beetles, dragonflies, and tadpoles in the aquarium
One-twelfth of the pond animals are dragonflies
One-third of the animals are caddis fly larvae.
One-fourth are tadpoles.
The same number of diving beetles as whirligig beetles.
Number of dragonflies = 6
Let the total animals be = x, dragonflies are represented by d, caddis fly larvae as c, tadpoles as t, diving beetles as b, and whirligig beetles as w.
What is the total animals?
x = d + c + t+ b + w
[tex]\frac{1}{12} \times x=d\\\frac{1}{3} \times x=c\\\frac{1}{4} \times x=c\\b=w\\d=6[/tex]
Comparing 1 and 5
[tex]\frac{1}{12}\times x=6\\ x=72[/tex]
Thus pond critters are 72.
[tex]C=\frac{1}{3} \times 75\\C=24[/tex]
[tex]t=\frac{1}{4}\times 72=18[/tex]
[tex]d=6[/tex]
Now x = d + c + t+ b + w
72 = 6+24+18+b+b (as b= w)
2b =24
b = 12
Thus w = 12.
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