Chocolates 2800

One popsicle and one chocolate cost € 2 and 10 cents. Three popsicles and two chocolates cost € 5 and 10 cents. How much is one popsicle, and how much is one chocolate?

Correct answer:

n =  0.9 Eur
c =  1.2 Eur

Step-by-step explanation:


n+c = 2.10
3n +2c = 5.10


n+c = 2.10
3·n +2·c = 5.10

c+n = 2.1
2c+3n = 5.1

Pivot: Row 1 ↔ Row 2
2c+3n = 5.1
c+n = 2.1

Row 2 - 1/2 · Row 1 → Row 2
2c+3n = 5.1
-0.5n = -0.45


n = -0.45/-0.5 = 0.9
c = 5.1-3n/2 = 5.1-3 · 0.9/2 = 1.2

c = 6/5 = 1.2
n = 9/10 = 0.9

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