Question
Find the missing term in the proportion: \( \frac{40}{96}=\frac{20}{y} \) \( y=\square \)
Ask by Davey Paul. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = 48 \)
Solution
Solve the equation \( 40y=20*96 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(40y=20\times 96\)
- step1: Multiply the numbers:
\(40y=1920\)
- step2: Divide both sides:
\(\frac{40y}{40}=\frac{1920}{40}\)
- step3: Divide the numbers:
\(y=48\)
The missing term in the proportion is \( y = 48 \).
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Simplify this solution Mind Expander
To solve for \( y \) in the proportion \( \frac{40}{96}=\frac{20}{y} \), we can cross-multiply. This means we multiply the numerator of one fraction by the denominator of the other fraction: \( 40 \cdot y = 20 \cdot 96 \). Calculating \( 20 \cdot 96 \) gives us 1920. Thus, we have: \( 40y = 1920 \). Next, we divide both sides by 40 to solve for \( y \): \( y = \frac{1920}{40} = 48 \). So, the missing term \( y \) is 48.
