6th REVIEW 6.1-6.5 Ratios and Rates

Louise is mixing red and blue paint colors to produce a shade of violet. The diagram represents 3 batches of the shade of violet that Louise created by mixing red and blue paint.

• The ratio of red paint to blue paint in Louise’s mixture is 12/6.

• The ratio of blue paint to red paint in Louise’s mixture is 12/6.

Determine the value that correctly completes the sentence. There are _______ cups of blue paint used for every 36 cups of violet that is mixed.

• 36

• 12

• 24

• 18

On June 22, 1947 in Holt, Missouri it rained 12 inches in 42 minutes. Complete the ratio to express the unit rate it rained on that day.

• 3.5 minutes : 1 inch of rain

• 0.29 minutes : 1 inch of rain

• 35 minutes : 1 inch of rain

• 12 minutes : 1 inch of rain

Xiao Xing worked a 6-hour day and earned $72. The double number line represents the amount she earned for working different numbers of hours. Determine the amount of money Xiao Xing earns in 1 hour.

• $72

• $12

• $9

• $66

Amy and Nickie’s families are driving to St. Louis, Missouri, from Orlando, Florida. Amy’s family is driving a direct route of 992 miles at 60 mph. Nickie and her family are driving through Alabama and will drive 1,084 miles at 70 mph. At this rate, how many hours will it take Amy’s family to get to St. Louis? (Round your answer to the tenths place.)

• 16 hours

• 14.2 hours

• 16.5 hours

• 15.5 hours

Amy and Nickie’s families are driving to St. Louis, Missouri, from Orlando, Florida. Amy’s family is driving a direct route of 992 miles at 60 mph. Nickie and her family are driving through Alabama and will drive 1,084 miles at 70 mph. How many hours will it take Nickie’s family to arrive in St. Louis? (Round your answer to the tenths place.)

• 16 hours

• 14.2 hours

• 16.5 hours

• 15.5 hours

According to these rates, the first to arrive in St. Louis will be _____ because her family was traveling at a _____ rate.

• Nickie; faster

• Nickie; slower

• Amy; faster

• Amy; slower

Marcelo installed solar panels on his roof. The panels produce 1,450 watt-hours when exposed to 5 hours of sunshine. How many watt-hours are produced when exposed to 1 hour of sunshine?

• 7,250

• 145

• 300

• 290

Marcelo installed solar panels on his roof. The panels produce 1,450 watt-hours when exposed to 5 hours of sunshine. How many hours of sunshine will it take to produce 2,320 watt-hours?

• 7 hours

• 8 hours

• 9 hours

• 10 hours

A sorting machine at an orange processing plant has to sort 8,640 tons of oranges to meet a deadline. The machine can process 36,000 tons of oranges in 50 minutes. Determine how long it will take the machine to sort 8,640 tons of oranges.

• 10 minutes

• 11 minutes

• 12 minutes

• 13 minutes