Desserts cost

Annie has 50 CZK, Anežka has 46 CZK, and they want to use all the money to buy desserts for a family celebration. They decide between cakes and pinwheels. A pinwheel is CZK 4 more expensive than a cake, and for all the money, you could buy a third more cake than pinwheels. How much does each of the desserts cost?

Final Answer:

v =  16 Kc
d =  12 Kc

Step-by-step explanation:


v=4+d
v = (1+1/3)d

v=4+d
v = (1+1/3)·d

d-v = -4
4d-3v = 0

Pivot: Row 1 ↔ Row 2
4d-3v = 0
d-v = -4

Row 2 - 1/4 · Row 1 → Row 2
4d-3v = 0
-0.25v = -4


v = -4/-0.25 = 16
d = 0+3v/4 = 0+3 · 16/4 = 12

d = 12
v = 16

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