SOLUTION: a developer purchased 70 acres of land for 900000 dollars. if part costs 20000 dollars per acre and the remainder cost 10000 per acre how many acres did the developer buy at each p

Question 123792This question is from textbook
: a developer purchased 70 acres of land for 900000 dollars. if part costs 20000 dollars per acre and the remainder cost 10000 per acre how many acres did the developer buy at each price. This question is from textbook

Answer by PBMathandscience(9) (Show Source): You can put this solution on YOUR website!
Call the area purchased at 20,000 per acre as X. Then the portion purchased at 10,000 per acre is (70-X).
Since the total cost is 900,000 we have the following equation:
900,000 = 20,000*X + 10,000*(70-X)
or
900,000 = 20,000*X + 700,000 - 10,000*X
0r
200,000 = 10,000 * X
20 = X
So the developer purchased 20 acres at 20,000 and (70-20) or 50 acres at 10,000.
Check:
20*20,000 + 50*10,000 = 400,000 + 500,000 = 900,000

RELATED QUESTIONS
A developer purchased 70 acres of land for $900,000. If part cost $20,000 per acre and... (answered by checkley77)

Forty acres of land were purchased for $20,400. The land facing the highway cost $650 per (answered by richwmiller)

(x+5) acres facing the Seventy-five acres of land were purchased for $142 500. The land... (answered by checkley77)

A piece of land costs $41; 000 for 3 5/12 acres. What is the cost per... (answered by solver91311)

A piece of land costs $41, 000 for 3 5/12 acres. What is the cost per acre? 13666 for... (answered by Earlsdon,Edwin McCravy)

A developer bought 900 acres of land for 680,000$. Some was bought at 600$ per acre, some (answered by Fombitz)

a grower has 50 acres of land for which she plans to raise three crops. it costs $200 to... (answered by ikleyn)

A farmer has 1000 acres of land on which he plans to grow corn, wheat, and soybeans. The (answered by ankor@dixie-net.com)

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $20 (answered by ikleyn)