Pearson Hilton
03/05/2024 · Elementary School

Annabelle thinks of a number, \( t \). She triples it and then subtracts 7 to get \[ \text { an answer of } 5 \text {. } \] a) Write an equation to describe this. b) Use your equation to calculate \( t \).

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a) To describe the situation with an equation, we can express it as follows: \[ 3t - 7 = 5 \] Here, \( t \) is the number Annabelle thinks of, and the equation states that tripling \( t \) and then subtracting 7 results in 5. b) Now, we can solve the equation for \( t \): 1. Start with the equation: \[ 3t - 7 = 5 \] 2. Add 7 to both sides to isolate the term with \( t \): \[ 3t = 5 + 7 \] \[ 3t = 12 \] 3. Now, divide both sides by 3 to solve for \( t \): \[ t = \frac{12}{3} \] \[ t = 4 \] Thus, the value of \( t \) is \( 4 \).

Quick Answer

a) Equation: \( 3t - 7 = 5 \) b) \( t = 4 \)
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