Question

solve for u in the proportion.
\frac{32}{20} = \frac{u}{25}

u = \square

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{32}{20}=\frac{u}{25}\), cross - multiplying gives us \(20\times u = 32\times25\).

Step2: Calculate the right - hand side

First, calculate \(32\times25\). We know that \(32\times25=(30 + 2)\times25=30\times25+2\times25 = 750+50 = 800\). So the equation becomes \(20u=800\).

Step3: Solve for u

To solve for \(u\), divide both sides of the equation \(20u = 800\) by 20. That is \(u=\frac{800}{20}\).

Step4: Simplify the fraction

\(\frac{800}{20}=40\).

Answer:

\(40\)