Mejia Mcdonald
03/20/2024 · Middle School
\( t=4(p-q) \) \( t=18 \) \( q=6 \) Work out the value of \( p \)
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Tutor-Verified Answer
Step-by-step Solution
We start with the equations given:
1. \( t = 4(p - q) \)
2. \( t = 18 \)
3. \( q = 6 \)
First, we can substitute the value of \( t \) from equation 2 into equation 1:
\[
18 = 4(p - q)
\]
Next, we substitute the value of \( q \) from equation 3 into the equation:
\[
18 = 4(p - 6)
\]
Now, we can simplify this equation. First, divide both sides by 4:
\[
\frac{18}{4} = p - 6
\]
This simplifies to:
\[
4.5 = p - 6
\]
Next, we solve for \( p \) by adding 6 to both sides:
\[
p = 4.5 + 6
\]
Calculating the right side gives:
\[
p = 10.5
\]
Thus, the value of \( p \) is
\[
\boxed{10.5}
\]
Quick Answer
\( p = 10.5 \)
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