Question

Ms. Thornton's class visited five freshwater lakes to learn more about the crocodiles and alligators living in them. The class counted the number of species in each lake as shown in the table. Lake Crocodiles Alligators A 4 5 B 21 35 C 3 9 D 6 16 E 24 30 The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?

Answer 1

A and E because 4x6 = 24 and 5x6 = 30

Answer 2

lake A and lake E have crocodiles and alligators in the same proportion.

Explanation:

The table below shows the given data of each lake and number of crocodiles and alligators in each lake.

We have to find the two lake having crocodiles and alligators in the same proportion.

We first find the proportion of crocodiles and alligators in each lake in reduced form.

For lake A,

The proportion of crocodiles and alligators
`=(4)/(5)`

For lake B,

The proportion of crocodiles and alligators
`=(21)/(35)=(3)/(7)`

For lake C,

The proportion of crocodiles and alligators
`=(3)/(9)=(1)/(3)`

For lake D,

The proportion of crocodiles and alligators
`=(6)/(16)=(3)/(8)`

For lake E,

The proportion of crocodiles and alligators
`=(24)/(30)=(4)/(5)`

Thus, it can be seen clearly that lake A and lake E have crocodiles and alligators in the same proportion of
`=(4)/(5)` .