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−58=39 and 97
c minus 58 equals 39 and 97

c+39=58 and −19
c plus 39 equals 58 and negative 19

c+39=58 and 19

1 answer

To set up an equation based on the problem:

  1. Let \( c \) be the number of cans already on the shelf.
  2. The total capacity of the shelf is 58 cans.
  3. Alexei can still put 39 cans on the shelf, which means the number of cans already on the shelf plus the 39 cans he can still add equals the total capacity of the shelf.

This can be expressed with the equation:

\[ c + 39 = 58 \]

Now, solving for \( c \):

  1. Subtract 39 from both sides:

\[ c = 58 - 39 \]

  1. Simplify:

\[ c = 19 \]

So the correct equation is \( c + 39 = 58 \) and the answer is 19.

The correct response from the options provided is:

c + 39 = 58 and 19.