Alexei is stocking a shelf at the store. The shelf can hold 58 cans, so he can still put 39 cans on the shelf before it is full. Create an equation to make sense of the problem and solve it to find out how many cans are already on the shelf. Which equation and answer are correct?(1 point) Responses c−58=39 and 97 c minus 58 equals 39 and 97 c+39=58 and 19 c plus 39 equals 58 and 19 c+39=58 and −19 c plus 39 equals 58 and negative 19 c−58=39 and 97

1 answer

To solve the problem, we need to understand that the total capacity of the shelf is 58 cans, and Alexei can still add 39 cans before it is full.

Let \( c \) be the number of cans already on the shelf. The equation representing the situation is:

\[ c + 39 = 58 \]

To isolate \( c \), we can subtract 39 from both sides of the equation:

\[ c = 58 - 39 \]

Now, calculating:

\[ c = 19 \]

So, the number of cans already on the shelf is 19.

The correct equation is:

c + 39 = 58

And the answer is that there are 19 cans already on the shelf.