On a city map, 1/3 inch represents 2 city blocks in real life. If city Hall and the library are 4 1/3 inches apart on the map, what is the actual distance between the two?

Respuesta :

26 city blocks

Explanation:[tex]\begin{gathered} \frac{1}{3}\text{inch = 2 city blocks} \\ \\ \text{the distance betw}een\text{ the city hall and Library = 4}\frac{1}{3}inches\text{ apart} \end{gathered}[/tex][tex]\begin{gathered} \text{let the actual distance betw}een\text{ the city hall and Library = y} \\ \frac{1}{3}inch\text{ = 2 city blocks} \\ 4\frac{1}{3}inch\text{ = y} \\ \text{cross multiply:} \\ y(\frac{1}{3})\text{ = 2(4}\frac{1}{3}) \end{gathered}[/tex][tex]\begin{gathered} \frac{y}{3}\text{ = 2(}\frac{13}{3}) \\ \frac{y}{3}\text{ =(}\frac{26}{3}) \\ 3(y)\text{ = 26(3)} \\ y\text{ = }\frac{26(3)}{3} \\ y\text{ = 26} \end{gathered}[/tex]

Hence, the actual distnce between the city Hall and library is 26 city blocks apart