Sisters 47181

Sisters Hanka and Jana have saved a total of 560 CZK. A third of Hanka's savings equals a quarter of Jana's savings. How much CZK has Hanka saved, and how much has Jana?

Correct answer:

h =  240
j =  320

Step-by-step explanation:


h+j=560
h/3=j/4

h+j = 560
4h-3j = 0

Pivot: Row 1 ↔ Row 2
4h-3j = 0
h+j = 560

Row 2 - 1/4 · Row 1 → Row 2
4h-3j = 0
1.75j = 560


j = 560/1.75 = 320
h = 0+3j/4 = 0+3 · 320/4 = 240

h = 240
j = 320

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