A map has a scale of 3 centimeters : 8 kilometers. If two cities are 11 centimeters apart on the map, what is the actual distance between the cities, to the nearest tenth of a kilometer? Explain how to find the answer.
1 - This means: every 3 cm on the map ==8 km on the ground. So, 1 cm on the map==8 / 3==2+2/3 km on the ground. Therefore, 11 cm on the map ==11 cm x 2+2/3 km/cm ==29 + 1/3 km - actual distance between the 2 cities.
OR:
2 - [11 cm / 3 cm] x 8 km /3 cm ==[3 + 2/3] x 8 ==29+1/3 km - actual distance btween the two cities.
8km / 3cm * 11 cm = 29 1/3 cm ( see how the units cm cancel out and you are left with 'km' ?