a grocery clerk nstacks three rows of can of fruit for a display, each of the top two rows has 2 fewer cans than the row beneath it, there are 30 cans altogether, how many cans are in each row?

n+ (n-2)+(n-4)=30

solve for n, the bottom row.

First row:8

second row:10
third row:12

Let's solve this step by step.

Let's assume the number of cans in the third row (top row) is n.

According to the given information, each of the top two rows has 2 fewer cans than the row beneath it.

So, the second row has (n + 2) cans, since it has 2 fewer cans than the third row.

Similarly, the first row has (n + 4) cans, since it has 2 fewer cans than the second row.

Given that there are 30 cans altogether, we can write the equation:

(n + 4) + (n + 2) + n = 30

Simplifying the equation:

3n + 6 = 30

Subtracting 6 from both sides:

3n = 24

Dividing both sides by 3:

n = 8

So, there are 8 cans in the third row (top row).

The second row has (8 + 2) = 10 cans.

The first row has (10 + 2) = 12 cans.

Therefore, there are 12 cans in the first row, 10 cans in the second row, and 8 cans in the third row.

To find out how many cans are in each row, we can set up an equation based on the given information.

Let's assume the number of cans in the bottom row is "x".

According to the given information, the top two rows have 2 fewer cans than the row beneath them. So, the number of cans in the middle row would be "x - 2", and in the top row, it would be "x - 2 - 2" or "x - 4".

The total number of cans is given as 30. So, we can write the equation:

x + (x - 2) + (x - 4) = 30

Now, let's solve this equation to find the value of "x" which represents the number of cans in the bottom row:

3x - 6 = 30 (Combine like terms)
3x = 36 (Add 6 to both sides)
x = 12 (Divide both sides by 3)

Therefore, there are 12 cans in the bottom row. In the middle row, there would be 12 - 2 = 10 cans, and in the top row, there would be 10 - 2 = 8 cans.