Lemonades 2816

Three cakes and two lemonades cost € 3 and 21 cents. Three cakes and three lemonades cost € 3 and 99 cents. How many cents does one cake cost, and how much does one lemonade cost?

Correct answer:

x =  0.55 Eur
y =  0.78 Eur

Step-by-step explanation:


3x+2y=3.21
3x+3y = 3.99

3·x+2·y=3.21
3·x+3·y = 3.99

3x+2y = 3.21
3x+3y = 3.99

Row 2 - Row 1 → Row 2
3x+2y = 3.21
y = 0.78


y = 0.78/1 = 0.78
x = 3.21-2y/3 = 3.21-2 · 0.78/3 = 0.55

x = 11/20 = 0.55
y = 39/50 = 0.78

Our linear equations calculator calculates it.



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