Comparing Situations by Examining Ratios

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Comparing Recipes by Examining Ratios.

Lin and Noah each have their own recipe for making sparkling orange juice. Lin mixes 3 liters of orange juice with 4 liters of soda water.

Noah mixes 4 liters of orange juice with 5 liters of soda water.

(1). How do the two mixtures compare in taste? Explain your reasoning.

(2). How can Lin make her sparkling orange juice taste the same as Noah’s just by adding more of one ingredient? How much will she need?

(3). How can Noah make his sparkling orange juice taste the same as Lin’s just by adding more of one ingredient? How much will he need?

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Comparing Paint Mixtures-Ratios.

We have two paint mixers to enable you compare two different mixtures visually.

  • In Mixture A, use 3 cups of green and 2 cups of white paint. ​The Tape Diagram is displayed below.
  • Check the Percent box, check the Green and White boxes to see the percentage composition ​of the mixture.
  • Uncheck the boxes.
  • Now check the Fraction box, check Green and White boxes to see the fraction of each paint​ in the mixture.
  •  In mixture B, use 2 cups of green and 3 cups of white paint. ​The Tape Diagram is also displayed below.
  • Check the Percent box, check the Green and White boxes to see the percentage composition ​of the mixture.
  • Uncheck the boxes.
  • Now check the Fraction box, check Green and White boxes to see the fraction of each paint​ in the mixture.
  • Now visually compare the colors of the paint in the two containers.

Mixture A has 3 cups og Green and 2 cups of white paint. paint with 15 teaspoons of yellow paint.

Mixture B has 2 cups of Green paint and 3 cups of White paint.

(1). Use the double number line diagram below to represent mixture A.

(2). Use the double number line diagram below to represent mixture B.

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Diego paid $47 for 3 tickets to a concert. Andre paid $141 for 9 tickets to a concert.

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A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles.

(1). What is the plane’s speed in miles per hour?

(2). At this rate, how many miles can it travel in 10 hours?

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A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai? Explain your reasoning.