Lentilka

Lentilka made 31 pancakes: eight unfilled, 14 filled with strawberry jam, and 16 filled with cream cheese.

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

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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