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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Tutor-Verified Answer
Step-by-step Solution
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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