A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 120 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 120 feet of frontage each, what is the value of x ?  Choose the correct choice from the following answers.
A) 400 B) 3,200 C) 3,700 D) 4,400 E) 5,200
Total number of plots,be T   Plots with 80ft is (1/9)th of total plots.   Plots with 120ft frontage = (8/9) X total number of plots   i.e 8/9 X T = 40 T = 45   Total lake frontage = 40X120 + 5X80 = 5200   Answer : 5,200
<result>E</result>
A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 120 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 120 feet of frontage each, what is the value of x ?