Question

researchers asked 150 families whether or not they were homeowners and how many cars they had. their responses are summarized in the following table.

	no car or one car	two or more cars
not a homeowner	28	44

(a) what percentage of the families are not homeowners?
(b) what percentage of the families have two or more cars?

Explanation:

Step1: Calculate number of non - homeowners

The number of non - homeowners is \(28 + 44=72\).

Step2: Calculate percentage of non - homeowners

The total number of families is \(150\). The percentage of non - homeowners is \(\frac{72}{150}\times100\%\).
\[

$$\begin{align*} \frac{72}{150}\times100\%&=\frac{72\times100}{150}\%\\ & = 48\% \end{align*}$$

\]

Step3: Calculate number of families with two or more cars

The number of families with two or more cars is \(67+44 = 111\).

Step4: Calculate percentage of families with two or more cars

The percentage of families with two or more cars is \(\frac{111}{150}\times100\%\).
\[

$$\begin{align*} \frac{111}{150}\times100\%&=\frac{111\times100}{150}\%\\ &=74\% \end{align*}$$

\]

Answer:

(a) 48%
(b) 74%