1. 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. What equation and answer are correct?(1 point)

Responses

c−58=39 and 97
c−58=39 and 97

c−58=39 and 97
c−58=39 and 97

c+39=58 and −19
c+39=58 and −19

c+39=58 and 19

1 answer

To solve the problem, let's define \( c \) as the number of cans already on the shelf. According to the problem, the shelf can hold a total of 58 cans, and since Alexei can still put 39 cans on the shelf, this means that there are currently \( c \) cans on the shelf and there is space for 39 more cans.

The correct equation that expresses this relationship is:

\[ c + 39 = 58 \]

Now, we can solve for \( c \):

  1. Subtract 39 from both sides: \[ c = 58 - 39 \]
  2. Calculate the right side: \[ c = 19 \]

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

So the correct response is:

c + 39 = 58 and 19.