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Ratios and Relationships: Hard

Tackle multi-step ratio, rate, and proportion problems that require careful setup and unit analysis.

0 of 8 answered Score: 0%
Question 1
A chemist mixes Solution A and Solution B in a ratio of 3:5 to create a compound. Solution A costs $8 per liter and Solution B costs $14 per liter. What is the cost, in dollars, per liter of the compound?
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A scale model of a building is built at a ratio of 1:150. If a room in the model has a floor area of 8 square inches, what is the actual floor area of the room, in square inches?
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A tank is being filled by two pipes. Pipe A fills the tank at a rate of 3 gallons per minute, and Pipe B fills it at 5 gallons per minute. At the same time, a drain removes water at 2 gallons per minute. If the tank holds 240 gallons, how many minutes will it take to fill the tank from empty?
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A delivery truck travels from City A to City B at 60 miles per hour and returns along the same route at 40 miles per hour. What is the truck's average speed, in miles per hour, for the entire round trip?
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An athlete runs the first 6 kilometers of a race at 12 kilometers per hour and the remaining 4 kilometers at 8 kilometers per hour. What is the athlete's average speed, in kilometers per hour, for the entire race?
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A printer can produce 360 pages in 8 minutes. A second printer can produce 280 pages in 7 minutes. If both printers run together for 12 minutes, how many total pages do they produce?
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A wildlife researcher tags 48 fish in a lake and releases them. One week later, the researcher catches a sample of 200 fish and finds that 12 of them are tagged. Using this proportion, what is the estimated total number of fish in the lake?
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A laboratory technician needs to prepare 500 milliliters of a 30% saline solution by mixing a 20% saline solution with a 50% saline solution. How many milliliters of the 50% solution are needed?
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