Roger bought two plots of land for $120000. He sold the first plot and profited 15%. He sold the second plot and lost 10%. His t
otal profit was $5500. How much did he pay for each plot?
2 answers:
Answer:
he paid $70000 and $ 50000
X + y = 120000
0.15x - 0.10y = 5500
Multiply both sides of bottom by 100 to remove decimals
x + y = 120000
15x - 10y = 550000
Multiply both sides of top by 10
10x + 10y = 1200000
15x - 10y = 550000
Add the two
25x = 1750000
x = 70000
He paid $70,000 for the property that made a profit, and paid $50,000 for the property that lost value.
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