Spending 6556

Romana, Pavol, and Ján were on vacation. Everyone paid some part of the cost. After the vacation, it was found that Romana spent Sk 19,000 for all three, Pavol Sk 7,000 for all three, and Ján Sk 4,000 for all three. How much money will each of them pay each other so that they all have the same spending? SK is the older Slovak crown currency.

Correct answer:

j =  13000
p =  11500
r =  5500

Step-by-step explanation:


19000 + 2r = (19000+7000+4000)
7000 + 2p = (19000+7000+4000)
4000 + 2j = (19000+7000+4000)

19000 + 2·r = (19000+7000+4000)
7000 + 2·p = (19000+7000+4000)
4000 + 2·j = (19000+7000+4000)

2r = 11000
2p = 23000
2j = 26000

Pivot: Row 1 ↔ Row 3
2j = 26000
2p = 23000
2r = 11000


r = 11000/2 = 5500
p = 23000/2 = 11500
j = 26000/2 = 13000

j = 13000
p = 11500
r = 5500

Our linear equations calculator calculates it.



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