Grandmother money distribution

Peter and John received 315 CZK from their grandmother. Peter received a third more than John. How many crowns did each of them have?

Final Answer:

h =  135
p =  180

Step-by-step explanation:


p+h=315
p = h + h/3

h+p = 315
4h-3p = 0

Pivot: Row 1 ↔ Row 2
4h-3p = 0
h+p = 315

Row 2 - 1/4 · Row 1 → Row 2
4h-3p = 0
1.75p = 315


p = 315/1.75 = 180
h = 0+3p/4 = 0+3 · 180/4 = 135

h = 135
p = 180

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algebrabasic operations and conceptsnumbersUnits of physical quantitiesGrade of the word problem

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