Apples 83295

The price of 6 kg of pears is CZK 77 higher than the price of 5 kg of apples. The price of 6 kg of apples is the same as the price of 5 kg of pears. How much are 2 kg of apples?

Correct answer:

x =  70 Kc

Step-by-step explanation:

$$\begin{gathered} 6a=77+5b \\ 6b=5a \\ 6\cdot a=77+5\cdot b \\ 6\cdot b=5\cdot a \\ 6a-5b=77 \\ 5a-6b=0 \\ Row2-\frac{5}{6}\cdot Row1\to Row2 \\ 6a-5b=77 \\ -1.83b=-64.17 \\ b=\frac{-64.16666667}{-1.83333333}=35 \\ a=\frac{77+5b}{6}=\frac{77+5\cdot 35}{6}=42 \\ a=42 \\ b=35 \\ x=2\cdot b=2\cdot 35=70\text{Kc} \end{gathered}$$

Try another example