Q3 - Algebra 1

Question

William is using a 1.75-liter container to fill a 14-liter container of water. About how many times will he need to fill the smaller container?

Step-by-Step Solution

Answer

The number of times William will use a 1.75-liter container to fill a 14-liter container of water is 8

Step-1. Apply the concept of the four-step process for problem-solving.

A four-step plan is used to solve real-world problems with the help of mathematical tools.

Steps involved in the four-step plan:

1. Explore/Understand the problem
2. Devise a plan to solve the problem
3. Carry out the plan(solve)
4. Lookback (check and interpret)

Step-2. Explore/Understand the problem.

It is given that William is using a 1.75-liter container to fill a 14-liter container of water.

An exact answer is required for this problem since the number of times he needs to fill the small container to fill the large container is to be calculated.

Step-3. Devise a plan to solve the problem.

The total number of times William needs to fill the smaller container in order to fill the larger container is the ratio of volumes of the larger container to the smaller container.

Step-4. Carry out the plan(solve).

Let the total cost number of times William needs to fill the smaller container be N.

Therefore, 

$N=\frac{14}{1.75}=8$

Therefore, William needs to fill a $1.75-\mathrm{liter}$ container 8 times in order to fill the $14-\mathrm{liter}$ container.

Step-5. Look back (check and interpret).

Since the total number of times William needs to fill a $1.75-\mathrm{liter}$ container is 8, we can verify the answer by multiplying the number of times to 1.75 to get the volume of larger container.

$1.75\times 8=14$

Which is 14, the volume of larger container.

Hence the solution is correct.

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