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45 70 government rounds - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \frac{3}{8} = \frac{18}{48}, \quad \frac{5}{12} = \frac{20}{48}, \quad \frac{7}{16} = \frac{21}{48}

📌 \frac{18 + 20 + 21}{48} = \frac{59}{48}

📌 Since $ \frac{59}{48} > 1 $, the total is $ \frac{59}{48} $ kg, which is an improper fraction. It cannot be simplified further.

📌 $\boxed{\frac{59}{48}}$

📌 Question: A climate researcher in New York City analyzes energy usage data from three boroughs. Over one week, the total CO₂ emissions were proportional to the ratios $4:7:9$. If the second borough emitted 147 metric tons, how many metric tons did the third borough emit?

📌 Solution: The ratio of emissions is $4:7:9$. Let the common multiplier be $x$. Then the second borough emitted $7x = 147$ metric tons. Solving for $x$:

📌 x = \frac{147}{7} = 21

📌 Then the third borough emitted $9x = 9 \times 21 = 189$ metric tons.

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