Money Sharing Three People

If Peter had 700 CZK more, he would have the same as George. Zdenek has a third of what Peter precisely. Together, they have 7000 CZK. How much does everyone have?

Final Answer:

j =  3400
p =  2700
z =  900

Step-by-step explanation:


p+700=j
z = p/3
p+j+z = 7000

j-p = 700
p-3z = 0
j+p+z = 7000

Row 3 - Row 1 → Row 3
j-p = 700
p-3z = 0
2p+z = 6300

Pivot: Row 2 ↔ Row 3
j-p = 700
2p+z = 6300
p-3z = 0

Row 3 - 1/2 · Row 2 → Row 3
j-p = 700
2p+z = 6300
-3.5z = -3150


z = -3150/-3.5 = 900
p = 6300-z/2 = 6300-900/2 = 2700
j = 700+p = 700+2700 = 3400

j = 3400
p = 2700
z = 900

Our linear equations calculator calculates it.



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