The distance between Singapore and Tokyo is 3300 miles. On a wall map, this distance is represented by 11 inches. How far apart are two cities on the map if the actual distance between them is 6300 miles?
each inch represents a certain number of miles
since \(3300\) miles is represented by 11 inches, you know each inch represents \(3300\div 11=300\) miles, i.e. one inch represents 300 miles
is that okay so far?
ok but just to make sure it is clear
1 inch is 300 miles
2 inches is 600 miles
3 inches is 900 miles etc
in other words, \(x\) inches is \(300x\) miles
you have \(6300\) miles to convert to inches, so you want to know what you would multiply 300 by to get \(6300\) which is just another way of saying,
what is \(6300\div 300\)