Question

Dominick's doctor tells him to take a one-half dose of medicine. One dose equals 2/3 tablespoon. Draw a visual model to find the amount of medicine Dominick needs. Write an equation to model the problem. How many tablespoons is a one-half dose?

Answer 1

Given;

One dose equals 2/3 tablespoon

let x represent 1 tablespoon of medicine

And y represent one dose of medicine.

We can represent the problem with the equation below;

$\begin{gathered} 1\text{ dose }\rightarrow\text{ }\frac{2}{3}\text{ tablespoon} \\ y=\frac{2}{3}x \end{gathered}$

For one-half dose of the medicine, divide both sides by 2;

$\begin{gathered} \frac{y}{2}=\frac{2}{3}x\times\frac{1}{2} \\ \frac{y}{2}=\frac{1}{3}x \end{gathered}$

Therefore, one half dose will be 1/3 tablespoon.

$\frac{1}{2}\text{ dose =}\frac{1}{3}\text{ tablespoon}$

Above are the pictorial representation of the problem.