Question

the density of a fish tank is 0.5 fish/feet cubed.There are 30 fish in the tank. What is the volume of the tank? 60 ft^3120 ft^36 ft^315.43 ft^3

Answer 1

The density is a constant ratio between the number of fish and the volume of the tank, that is

`\text{density}=\frac{\#of\text{ fish}}{volumeft^3}=0.5`

since this ratio must be preserved, then we can write

`\frac{30\text{ fish}}{\text{V}}=0.5`

where V denotes the unknown volume. Now, we need to isolate V.

By multiplying both sides by V, we have

`30\text{fish}=V*0.5`

and by dividing both sides by 0.5, we get

`\frac{30\text{ fish}}{\text{0.5}}=V`

which gives

`\begin{gathered} V=(30)/(0.5)ft^3 \\ V=60ft^3 \end{gathered}`

Therefore, the answer is option A: 60 cubic feet