Student scores

Dorka had a total of 22 marks in her student book. She had three times fewer threes than ones. She had only two twos. How many ones did Dorka have, and how many threes?

Final Answer:

a =  5
c =  15

Step-by-step explanation:


a+c = 22-2
a=c/3

a+c = 20
3a-c = 0

Pivot: Row 1 ↔ Row 2
3a-c = 0
a+c = 20

Row 2 - 1/3 · Row 1 → Row 2
3a-c = 0
1.33c = 20


c = 20/1.33333333 = 15
a = 0+c/3 = 0+15/3 = 5

a = 5
c = 15

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