SOLUTION: A total of $1,120,000 is budgeted for constructing a road-way. The rule of thumb for this type of project is that the pavement costs twice the amount of the base material, and the

Algebra ->  Human-and-algebraic-language -> SOLUTION: A total of $1,120,000 is budgeted for constructing a road-way. The rule of thumb for this type of project is that the pavement costs twice the amount of the base material, and the       Log On


   

Question 105137: A total of $1,120,000 is budgeted for constructing a road-way. The rule of thumb for this type of project is that the pavement costs twice the amount of the base material, and the sidewalk costs one-fourth the amount of the pavement. Using these figures, how much should each item cost?
Answer by elima(1433) About Me  (Show Source):
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A total of $1,120,000 is budgeted for constructing a road-way. The rule of thumb for this type of project is that the pavement costs twice the amount of the base material, and the sidewalk costs one-fourth the amount of the pavement. Using these figures, how much should each item cost?
x=base cost
2x=pavement cost
1%2F4(2x)=sidewalk cost
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x+2x+1%2F4(2x)=1120000
3x+1%2F2x=1120000
3.5x=1120000
x=$320,000 - base cost
2(320,000)=$640,000 - pavement cost
1%2F4(640000)=$160,000 - sidewalk cost
:)