Question

A fish tank contains tetras,guppies,and minnows. The ratio of tetras of guppies.Is 4:2.The ratio is minnows of guppies is 1:3. There are 60 fish on the fish tank. How many more tetras are there then minnows .

Answer 1

Answer:

30

Step-by-step explanation:

Let number of tetras be "t"

number of guppies be "g"

number of minnows be "m"

Ratio of tetras to guppies is 4:2, or reducing, 2:1. Thus we can write:

$\frac{t}{g}=\frac{2}{1}\\t=2g$

Ratio of minnows to guppies is 1:3, so we can write:

$\frac{m}{g}=\frac{1}{3}\\g=3m$

or, m = g/3

Also, total there are 60 fish, so we can write:

t + g + m = 60

or

2g + g + g/3 = 60

Solving this, we can solve for g. Shown below:

$2g+g+\frac{g}{3}=60\\3g+\frac{g}{3}=60\\\frac{9g+g}{3}=60\\10g=180\\g=18$

Now, finding t and m:

m = g/3 = 18/3 = 6

m = 6

and

t = 2g

t = 2(18)

t= 36

There are 36 tetras and 6 minnows. So, there are

36 - 6 = 30 more tetras than minnows