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Home » The Ultimate Pencil Case and Secret Organizer Hack Every Student Deserves! - Appfinity Technologies

The Ultimate Pencil Case and Secret Organizer Hack Every Student Deserves! - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question: How many positive 3-digit numbers are divisible by 7 but not by 5?

📌 Solution: First, find 3-digit numbers divisible by 7: The smallest is 105 ($ 7 \times 15 $), the largest is 994 ($ 7 \times 142 $). Total numbers: $ 142 - 14 = 128 $.

📌 Next, find numbers divisible by both 7 and 5 (i.e., 35): Smallest 3-digit is 105 ($ 35 \times 3 $), largest 980 ($ 35 \times 28 $). Total: $ 28 - 2 = 26 $.

📌 Subtract: $ 128 - 26 = 102 $. The answer is $ \boxed{102} $.

📌 Question: The ratio of bluefin tuna to mackerel in a marine reserve is $ 5:4 $. If there are 20 bluefin tuna, how many mackerel are present?

📌 Solution: Let the number of mackerel be $ m $. The ratio $ 5:4 = 20:m $ implies $ \frac{5}{4} = \frac{20}{m} $. Cross-multiplying: $ 5m = 80 $ → $ m = 16 $. There are $ \boxed{16} $ mackerel.

📌 Question: Solve for $ y $ in the equation $ \frac{3y - 1}{4} = \frac{y + 7}{2} $.

📌 Solution: Cross-multiply: $ 2(3y - 1) = 4(y + 7) $. Expand: $ 6y - 2 = 4y + 28 $. Subtract $ 4y $: $ 2y - 2 = 28 $. Add 2: $ 2y = 30 $. Divide by 2: $ y = 15 $. Final answer: $ \boxed{15} $.

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