The store

The store received the same number of cans of peas and corn. On the first day, we sold 10 cans of peas and 166 cans of corn, leaving 5 times more peas than corn cans.

How many cans of each kind were in the store?

Correct answer:

a =  205
b =  205

Step-by-step explanation:

$$\begin{gathered} a=b \\ a-10=5(b-166) \\ a-10=5(a-166) \\ a-10=5a-830 \\ 820=4a \\ 205=a \\ 205=b \end{gathered}$$

a=b;
a-10 = 5(b-166)

a=b
a-10 = 5·(b-166)

a-b = 0
a-5b = -820

Row 2 - Row 1 → Row 2
a-b = 0
-4b = -820


b = -820/-4 = 205
a = 0+b = 0+205 = 205

a = 205
b = 205

Our linear equations calculator calculates it.

$b=(5\cdot 166-10)/(5-1)=205$

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