Steve mows his neighbor's lawns for extra cash. He charges Mrs. rodgers $35 for her 1 1/2 acre yard. At this rate, how much should he charge Mr. timber for his year if it is 6 3/4 of an acre?

Answer 1

The ratio of cost to acres should be the same. Let x = cost of the larger area

6 3/4 = 27/4 1 1/2 = 3/2

x: 27/4 = 35:3/2

or x/(27/4) = 35/(3/2)

4x/27 =70/3

2x/27 = 35/3

2x/9= 35

2x = 315

x=315/2 = $157.50 for the 6 3/4 acres

6 3/4 acres is over 4 times as large as 1 1/2 acre. 4 x 1 1/2 = 5 1/2

4 x $35 = $140. The charge should be over $140. 6 3/4 divided by 1 1/2 = 4.5

4.5x $35 = $157.50