Guilders 40991

The price for 1 acre of good land is 300 gold coins, and the price for 7 acres of bad land is 500 gold. The buyer bought a total of 100 acres for 10,000 guilders. How many acres of good and how many acres of bad land did he buy?

Correct answer:

a =  12.5
b =  87.5

Step-by-step explanation:


a+b=100
300a+500/7·b=10000

a+b=100
300·a+500/7·b=10000

a+b = 100
2100a+500b = 70000

Pivot: Row 1 ↔ Row 2
2100a+500b = 70000
a+b = 100

Row 2 - 1/2100 · Row 1 → Row 2
2100a+500b = 70000
0.76b = 66.67


b = 66.66666667/0.76190476 = 87.5
a = 70000-500b/2100 = 70000-500 · 87.5/2100 = 12.5

a = 25/2 = 12.5
b = 175/2 = 87.5

Our linear equations calculator calculates it.



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