Chapter 0.1, Problem 3E

To determine

To calculate: The number of times William use a $1.75\text{-liter}$ container to fill a $14\text{-liter}$ container of water.

Answer to Problem 3E

The number of times William use a $1.75\text{-liter}$ container to fill a $14\text{-liter}$ container of water is $8$ .

Explanation of Solution

Given information:

William use a $1.75\text{-liter}$ container to fill a $14\text{-liter}$ container of water.

Formula used:

Four step plan is used to solve situations with help ofmathematical tools.

First understand the situation. Plan the solution according to it then solve it using mathematical tools and at last verify your solution.

Calculation:

It is provided that William use a $1.75\text{-liter}$ container to fill a $14\text{-liter}$ container of water.

An exact answer is required for the problem as number of times he need to fill the small container in order to fill the big container is to be evaluated.

Total number of numbers William needs to fill $14\text{-liter}$ container of water with help of $1.75\text{-liter}$ container is the ratio of volume of big container to small container.

Therefore,

  $\frac{14}{1.75}=8$

That is, 8 containers of $1.75\text{-liter}$ capacity are required to fill $14\text{-liter}$ container of water.

Since, $1.75\times 8=14$ , the answer is verified.

Thus, the number of times William use a $1.75\text{-liter}$ container to fill a $14\text{-liter}$ container of water is $8$ .