Question

solve for m:
2/5 = m/70
20
26
24
28
question 4 (2.5 points)
a medical assistant has 15 pens for 5 patients during check - ins. how many pens are needed for appointment check - ins of 20 patients?
20 pens
15 pens

Explanation:

First Question (Solving for \( m \)):

Step1: Cross - multiply the proportion

Given the equation \(\frac{2}{5}=\frac{m}{70}\), we cross - multiply. Cross - multiplying means that we multiply the numerator of the left - hand side by the denominator of the right - hand side and set it equal to the numerator of the right - hand side multiplied by the denominator of the left - hand side. So, \(2\times70 = 5\times m\).

Step2: Solve for \( m \)

First, calculate \(2\times70=140\). Then we have the equation \(140 = 5m\). To solve for \(m\), we divide both sides of the equation by 5. \(m=\frac{140}{5}=28\).

Step1: Find the number of pens per patient

We know that for 5 patients, there are 15 pens. To find the number of pens per patient, we divide the total number of pens by the number of patients. So, the number of pens per patient is \(\frac{15}{5}=3\) pens per patient.

Step2: Calculate the number of pens for 20 patients

If each patient needs 3 pens, and we have 20 patients, we multiply the number of pens per patient by the number of patients. So, the number of pens needed for 20 patients is \(3\times20 = 60\) (assuming the options were cut off, but based on the calculation, the number of pens needed is 60).

Answer:

28

Second Question (Pens for patients):