Lentilka

Lentilka made 31 pancakes. Eight don't fill with anything, 14 pancakes filled with strawberry jam, and 16 filled with cream cheese.

a) How many Lentilka did strawberry-cream cheese pancakes? Max ate four strawberry-cream cheese and all pure strawberry pancakes. Nicholas ate three unfulfilled and all the pure cream cheese pancakes.

b) How many pancakes eat Max?
c) How many pancakes eat Nicholas?

Correct answer:

a =  7
b =  11
c =  12

Step-by-step explanation:

$$\begin{gathered} (14-a)+a+(16-a)=31-8 \\ b=4+(14-a) \\ c=3+(16-a) \\ a=7 \\ a+b=18 \\ a+c=19 \\ Row2-Row1\to Row2 \\ a=7 \\ b=11 \\ a+c=19 \\ Row3-Row1\to Row3 \\ a=7 \\ b=11 \\ c=12 \\ c=\frac{12}{1}=12 \\ b=\frac{11}{1}=11 \\ a=\frac{7}{1}=7 \\ a=7 \\ b=11 \\ c=12 \end{gathered}$$

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