Question

house construction in the historic district

	poured concrete	field stone & mortar	combination	total
non - historically - protected			18	134
total		203		339

the houses in the \historic district\ of a particular town are either historically protected or not. the table partially represents these homes and whether they have foundations made from poured concrete, mortar and field stone, or a combination of both. if only 4.5% of the non - historically - protected homes have a field stone and mortar foundation, how many homes is this?
(round to the nearest whole number.)

Explanation:

Step1: Find number of non - historically - protected homes

The total number of homes is 339 and the number of historically - protected homes is 205. So the number of non - historically - protected homes is $339 - 205=134$.

Step2: Calculate number of non - historically - protected homes with field stone and mortar foundation

We know that 4.5% of the non - historically - protected homes have a field stone and mortar foundation. To find this number, we use the formula $n = p\times N$, where $p = 0.045$ (4.5% in decimal form) and $N = 134$. So $n=0.045\times134 = 6.03$.

Step3: Round the result

Rounding 6.03 to the nearest whole number gives 6.

Answer:

6