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)

Question

Responses

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

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

Answer 1

To solve the problem, we need to establish an equation that represents the situation described. We know that the shelf can hold a total of 58 cans and currently has 39 cans that can still be added before it is full.

Let \( c \) represent the number of cans already on the shelf. Since the shelf can hold 58 cans, and there are 39 cans that can still be added, we can set up the equation:

\[ c + 39 = 58 \]

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

1. Subtract 39 from both sides of the equation: \[ c = 58 - 39 \]

2. Simplifying the right side gives: \[ c = 19 \]

So, there are 19 cans already on the shelf.

Looking at the options:

1. c + 39 = 58 and −19 (incorrect)
2. c − 58 = 39 and 97 (incorrect)
3. c − 58 = 39 and 97 (incorrect)
4. c + 39 = 58 and 19 (correct)

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