Question

the ratio of landline phones to cell phones at an apartment complex is 2 to 3. if there are 68 landline phones, how many phones are there in all at the apartment complex? there are phones in all at the apartment complex. (type a whole number.)

Explanation:

Step1: Set up proportion for cell - phones

Let the number of cell phones be $x$. The ratio of landline phones to cell phones is $\frac{2}{3}$, and we know there are 68 landline phones. So, $\frac{68}{x}=\frac{2}{3}$.
Cross - multiply: $2x = 68\times3$.

Step2: Solve for the number of cell phones

First, calculate $68\times3 = 204$. Then, $x=\frac{204}{2}=102$.

Step3: Calculate the total number of phones

The total number of phones is the sum of landline and cell phones. Total phones = landline phones+cell phones. So, total phones $=68 + 102=170$.

Answer:

170