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Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).

A model with 3 rows of 8 and 3 rows of 4.

What is the missing value in Ming’s equation?
3
4
12
24

1 answer

To solve the equation \( 24 + 12 = \text{blank} \times (8 + 4) \), we first simplify the right side of the equation.

  1. Calculate \( 8 + 4 \): \[ 8 + 4 = 12 \]

  2. Now the equation can be rewritten as: \[ 24 + 12 = \text{blank} \times 12 \]

  3. Next, simplify the left side: \[ 24 + 12 = 36 \]

  4. Now we have: \[ 36 = \text{blank} \times 12 \]

  5. To find the value of "blank," divide both sides by 12: \[ \text{blank} = \frac{36}{12} = 3 \]

Thus, the missing value in Ming’s equation is 3.