Question

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?

Answer 1

26 city blocks

Step-by-step explanation:
`\begin{gathered} (1)/(3)\text{inch = 2 city blocks} \\ \\ \text{the distance betw}een\text{ the city hall and Library = 4}(1)/(3)inches\text{ apart} \end{gathered}`
`\begin{gathered} \text{let the actual distance betw}een\text{ the city hall and Library = y} \\ (1)/(3)inch\text{ = 2 city blocks} \\ 4(1)/(3)inch\text{ = y} \\ \text{cross multiply:} \\ y((1)/(3))\text{ = 2(4}(1)/(3)) \end{gathered}`
`\begin{gathered} (y)/(3)\text{ = 2(}(13)/(3)) \\ (y)/(3)\text{ =(}(26)/(3)) \\ 3(y)\text{ = 26(3)} \\ y\text{ = }(26(3))/(3) \\ y\text{ = 26} \end{gathered}`

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