5 exercises · 5 automatically checked · Untimed
5 questions · Shuffled order · Untimed practice
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A collection contains only green and yellow tiles in the ratio 3 ∶ 4. There are 84 tiles altogether. How many are green?
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
Answer: 36
The whole contains seven ratio units, so each unit represents 84/7
Review worked example 1.01.
Three positive quantities satisfy A ∶ B = 5 ∶ 6 and B ∶ C = 3 ∶ 2. What is the ratio A ∶ C?
Answer: B: 5 ∶ 4
Give the shared quantity B the same ratio value in both statements. Scale B ∶ C
Review worked example 1.01.
A container holds 0.08 cubic meter of water. How many liters is this? Use 1 m3 = 1,000 L.
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
Answer: 80 The supplied conversion already relates volume units. Multiply once by 1,000 L/m3: 0.08(1,000)
Review worked example 1.10.
A driver travels 90 miles at 45 mph and then 90 miles at 75 mph, with no stops. What is the average speed, in mph, for the entire trip?
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
Answer: 56.25
The two travel times are 90/45
Review worked example 1.13.
A 0.75-kilowatt device runs for 4 hours per day for 25 days. At $0.16 per kilowatt-hour, what is its total energy cost, in dollars?
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
Answer: 12
The total operating time is 4(25)
Review worked example 1.09.
Review Ratios, rates, proportions, and units