Rita rides the subway to work every day, a distance of 8 kilometers. The distance on the route map between the station by Rita's house and the station by her work is 36 centimeters. What is the map's scale? Write your answer in simplest form using whole numbers.
8/36=2/9 Kilometers, so that the scale on the map should be:
1cm: 2/9 km, so that
36cm x 2/9km=8km.
Here is a more elegant solution to this problem:
Let her salary be=x
Solve for x:
(39000-x)/(31200-x) = 40/27
Cross multiply:
27 (39000-x) = 40 (31200-x)
Expand out terms of the left hand side:
1053000-27 x = 40 (31200-x)
Expand out terms of the right hand side:
1053000-27 x = 1248000-40 x
Subtract 1053000-40 x from both sides:
13 x = 195000
Divide both sides by 13:
Answer: | x = 15,000. This is her salary, so that:
31,200 - 15,000=16,200 This is her commission for Jan.2014. Therefore:
16,200/405,000=4% This is her commission rate.
