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Andreas drew the model below to represent the equation 20 + 10 = blank x (4 + 2).

A model with 5 rows of 4 and 5 rows of 2.

What is the missing value in Andreas’s equation?
2
4
5
6

1 answer

To find the missing value in Andreas’s equation \(20 + 10 = \text{blank} \times (4 + 2)\), we first simplify the equation.

  1. Calculate the left side: \[ 20 + 10 = 30 \]

  2. Next, simplify the expression on the right side: \[ 4 + 2 = 6 \] This means we need to solve for "blank": \[ 30 = \text{blank} \times 6 \]

  3. To find "blank", we can divide both sides of the equation by 6: \[ \text{blank} = \frac{30}{6} = 5 \]

So, the missing value in Andreas’s equation is \(5\).