Nuts

Peter has 49 nuts. Walnuts have three more than hazelnuts and hazelnut two over almonds. Determine the number of walnuts, almonds, and hazelnuts.

Correct answer:

a =  19
b =  14
c =  16

Step-by-step explanation:


a+b+c=49
a = 3 + c
c = 2 + b

a+b+c = 49
a-c = 3
b-c = -2

Row 2 - Row 1 → Row 2
a+b+c = 49
-b-2c = -46
b-c = -2

Row 3 + Row 2 → Row 3
a+b+c = 49
-b-2c = -46
-3c = -48


c = -48/-3 = 16
b = -46+2c/-1 = -46+2 · 16/-1 = 14
a = 49-b-c = 49-14-16 = 19

a = 19
b = 14
c = 16

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