Lorine drew the model below to represent the equation 16 + 28 = blank x (4 + 7).

Question

A model with 4 rows of 4 squares and 4 rows of 7 squares.

What is the missing value in Lorine’s equation?
4
7
8
11

Answer 1

To solve the equation \(16 + 28 = \text{blank} \times (4 + 7)\), we first need to calculate the left-hand side:

\[ 16 + 28 = 44 \]

Next, we find the value of \(4 + 7\):

\[ 4 + 7 = 11 \]

Now, we can set up the equation using the values we found:

\[ 44 = \text{blank} \times 11 \]

To find the missing value (blank), we divide both sides by 11:

\[ \text{blank} = \frac{44}{11} = 4 \]

Therefore, the missing value is:

\[ \boxed{4} \]