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Home » \( 2(3w + 3) = 54 \) - Simpleprint

\( 2(3w + 3) = 54 \) - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A company produces two types of widgets, Type A and Type B. Type A widgets take 3 hours to produce, and Type B widgets take 5 hours. In one day, the company produces a total of 20 widgets, spending exactly 80 hours in production. How many Type A and Type B widgets does the company produce?

📌 Let \( x \) be the number of Type A widgets and \( y \) be the number of Type B widgets. We have the system of equations:

📌 \( x + y = 20 \)

📌 \( 3x + 5y = 80 \)

📌 From equation 1, express \( y \) in terms of \( x \):

📌 \( y = 20 - x \)

📌 Substitute into equation 2:

📌 \( 3x + 5(20 - x) = 80 \)

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