Quiz-Tree

Hard - Quiz 1 🔒

Can you handle equations with multiple fractions, special cases, and layered word problems? These questions reward careful algebra and sharp reasoning.

Question 1 of 5
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Question 1
What is the value of \(x\) in the equation \(\dfrac{3x - 2}{5} - \dfrac{x + 4}{3} = 2\)?
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Two pipes are used to fill a 130-gallon storage tank. Pipe A delivers 5 gallons per minute and Pipe B delivers 3 gallons per minute. Pipe A runs alone for 10 minutes, then both pipes run together until the tank is full. For how many minutes do both pipes run together?
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How many solutions does the equation \(3(2x + 4) - 2(3x + 1) = 10\) have?
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A clothing store marks up every item by 40% over its wholesale cost and then offers a storewide 15% discount on the marked-up price. If a jacket's sale price is $59.50, what is its wholesale cost?
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What is the value of \(x\) in the equation \(\dfrac{5x + 1}{6} = \dfrac{3x - 1}{4} + 1\)?
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