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

c−58=39
and 97

Answer 1

Let's analyze the problem step by step.

The total capacity of the shelf is 58 cans. Alexei can still put 39 more cans on the shelf before it is full. This means the number of cans already on the shelf (let's denote it as \(c\)) plus the 39 cans he can still add equals the total capacity of the shelf (58 cans).

So, we can set up the equation: \[ c + 39 = 58 \]

Now we will solve for \(c\) (the number of cans already on the shelf):

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

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

The correct equation and answer from the options provided is: c + 39 = 58 and 19.