Answer:
We will need 42 scoops in order to fill the entire fish tank.
Explanation:
Given:
A fish tank holds 14 liters of water.
We use a scoop that holds one-third of a liter.
Now, to find the scoops in order to fill the entire fish tank.
One scoop holds :
![(1)/(3)\ of\ 1\ liter.](https://img.qammunity.org/2021/formulas/mathematics/high-school/xdxax8snshibtw1yrubo4o35g3pi6qtoi3.png)
=
![(1)/(3) * 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/q0v0teijypl41gzvbuiavgc61jwe004txy.png)
=
![(1)/(3) \ liter.](https://img.qammunity.org/2021/formulas/mathematics/high-school/igpmwa9w279lu3yvkfxrq6136yugctk1gl.png)
Total liters of water fish tank holds = 14 liters.
Now, to get the number of scoops we need to fill the entire fish tank we divide total liters of water fish tank holds by quantity of water one scoop holds:
![14/ (1)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nfwgc2hosqj66v6r23v57kbmz9fqrijrl7.png)
As, we change the division into multiplication one side of the number reciprocals:
=
![14* 3](https://img.qammunity.org/2021/formulas/mathematics/high-school/hvtczyxyqfmfiaqiy5fcog892yf1ve3cpg.png)
![=42\ .](https://img.qammunity.org/2021/formulas/mathematics/high-school/fug8z1moyj7d2hbd1q8bavdbeit08oj5hm.png)
Therefore, we will need 42 scoops in order to fill the entire fish tank.