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17. Higher Order Thinking A store sells 3 pens in a package. There are 12 packages of pens in a box. Write an equation to model the number of pens in a box. Use the equation to write another equation that uses the Subtraction Property of Equality. Explain how the equation is balanced.

Ask by Gardner Chen. in the United States
Jan 24,2025

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There are 36 pens in a box. If you subtract 6 pens, the equation becomes \( p - 6 = 30 \). The equation remains balanced because the same number is subtracted from both sides.

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To model the number of pens in a box, you can create the equation: \( P = 3 \times 12 \) where \( P \) represents the total number of pens. This means there are \( 36 \) pens in total (3 pens per package × 12 packages). Now, using the Subtraction Property of Equality, you can create another equation: \( P - 9 = 36 - 9 \). This shows that if you remove 9 pens from both sides, the equations remain balanced, confirming that both sides still equal 27, illustrating the concept of maintaining equality in equations!

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