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Home » The inradius $ r $ of a right triangle is given by the formula: - go-checkin.com

The inradius $ r $ of a right triangle is given by the formula: - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question: A science journalist reports that a lab uses two reagents, A and B, costing $ \$12 $ and $ \$8 $ per unit, respectively. If 15 units total cost $ \$156 $, how many units of reagent A were purchased?

📌 Solution: Let $ a $ = units of A, $ b $ = units of B.

📌 $$ a + b = 15 $$

📌 $$ 12a + 8b = 156 $$

📌 From the first equation, $ b = 15 - a $. Substitute into the second:

📌 $$ 12a + 8(15 - a) = 156 $$

📌 $$ 12a + 120 - 8a = 156 $$

📌 $$ 4a = 36 $$

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