SOLUTION: The number of alligators varies directly as the number of snakes and inversely as the number of crocodiles. When there were 24 alligators and 16 snakes, there were 2 crocodiles. Ho

Question 31762: The number of alligators varies directly as the number of snakes and inversely as the number of crocodiles. When there were 24 alligators and 16 snakes, there were 2 crocodiles. How many snakes are there when there are 72 alligators and 6 crocodiles?
Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
Number of alligators = x
Number of snakes = y
Number of crocodiles = x
x=ky/x (because of direct and inverse variation)
24 = 16k/2 (from 24 alligators, 16 snakes and 2 crocodiles )
=> 24 = 8k
=> k = 3
=> x = 3y/z
When there are 72 alligators, and 6 crocodiles,
72 = 3y/6
=> y = 6*72/3 = 144
Answer: There would be 144 snakes when there are 72 alligators and 6 crocodiles
RELATED QUESTIONS
The number of Reds varies directly as the number of Greens squared and inversely as the... (answered by Fombitz)

the number of Reds varies directly as the number of Greens squared and inversely as the... (answered by advanced_Learner)

Translate the following mathematical statements into mathematical equations and solve the (answered by josgarithmetic)

Solve the following problem 1. In a particular school, the number of girls varies... (answered by Theo)

A biologist recorded 6 snakes on 10 acres in one area and 13 snakes on 29 acres in... (answered by ankor@dixie-net.com)

The number of moose varied inversely as the number of bears and directly as the number of (answered by Nate)

The number of moose varied inversely as the number of bears and directly as the number of (answered by ankor@dixie-net.com)

Translate the following mathematical statements into mathematical equations and solve the (answered by Boreal)

TTranslate the following mathematical statements into mathematical equations and solve... (answered by ankor@dixie-net.com)