Question
Solve for \( p \) in the proportion. \[ \begin{array}{l}\frac{p}{5}=\frac{38}{95} \\ p=\square\end{array} \]
Ask by Guerrero Norris. in the United States
Dec 19,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( p = 2 \)
Solution
To solve for \( p \) in the proportion:
\[
\frac{p}{5} = \frac{38}{95}
\]
**Step 1: Cross-Multiply**
Cross-multiplying the terms of the proportion gives:
\[
p \times 95 = 5 \times 38
\]
**Step 2: Simplify the Right Side**
Calculate \( 5 \times 38 \):
\[
5 \times 38 = 190
\]
So, the equation becomes:
\[
95p = 190
\]
**Step 3: Solve for \( p \)**
Divide both sides of the equation by 95 to isolate \( p \):
\[
p = \frac{190}{95}
\]
Simplify the fraction:
\[
p = 2
\]
**Answer:**
\[
p = 2
\]
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Simplify this solution Bonus Knowledge
To solve for \( p \) in the proportion \( \frac{p}{5} = \frac{38}{95} \), we can use cross-multiplication. This gives us: \[ p \cdot 95 = 38 \cdot 5 \] Calculating the right side: \[ 38 \cdot 5 = 190 \] So, we have: \[ 95p = 190 \] Now, to isolate \( p \), divide both sides by 95: \[ p = \frac{190}{95} \] Calculating the division: \[ p = 2 \] Thus, \[ p = 2 \]
