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question 13 (5 points) a survey of 2,000 medical assistants expressed t…

Question

question 13 (5 points)
a survey of 2,000 medical assistants expressed that an average of 3 out of 5 medical assistants use brand x aspirin. how many medical assistants use brand x aspirin?
write an equation and solve.

show your work.

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Explanation:

Define the variable and given values

Let \(x\) represent the number of medical assistants who use Brand X.
The total surveyed is \(2,000\).
The given ratio is \(\frac{3}{5}\).

Set up the proportion equation

Using Algebraic Modeling for this Word Problems scenario:

$$ \frac{x}{2000} = \frac{3}{5} $$

Solve the linear equation

Using Linear Equations solving techniques:

$$ x = 2000 \times \frac{3}{5} $$
$$ x = 400 \times 3 $$
$$ x = 1200 $$

Answer:

Equation:

$$\frac{x}{2000} = \frac{3}{5}$$

Solution:
\(1,200\) medical assistants use Brand X aspirin.