Question

six out of every 9 households have a guest room. margaret asked x households in her neighborhood if they have a guest room, and 24 said yes. find x. a 16 b 30 c 36 d 40

Explanation:

Step1: Set up proportion

We know that the ratio of households with a guest room to total households should be the same. So, $\frac{6}{9}=\frac{24}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $6x = 9\times24$.

Step3: Solve for x

First, calculate $9\times24 = 216$. Then, $x=\frac{216}{6}=36$.

Answer:

C. 36