IM 6.2.16 Lesson: Solving More Ratio Problems

Describe a situation with two quantities that this tape diagram could represent.[br][br][img]data:image/png;base64,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[/img]
Consider the problem: A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets.
How many tickets are for chaperones, how many for students?[br][br]Solve this problem in [i]one [/i]of three ways:
Use a triple number line.
Use a table: (Fill rows as needed.)
Use a tape diagram:
After your class discusses all three strategies, which do you prefer for this problem and why?
Use the digits 1 through 9 to create three equivalent ratios. Use each digit only one time.[br][br][math]\boxed{\phantom{3}}:\boxed{\phantom{3}}[/math] is equivalent to [math]\boxed{\phantom{3}}\,\boxed{\phantom{3}}:\boxed{\phantom{3}} [/math] and [math]\boxed{\phantom{3}}\,\boxed{\phantom{3}}:\boxed{\phantom{3}}\,\boxed{\phantom{3}}[/math]
Solve each problem, and show your thinking. Organize it so it can be followed by others. If you get stuck, consider drawing a double number line, table, or tape diagram.
A recipe for salad dressing calls for 4 parts oil for every 3 parts vinegar. How much oil should you use to make a total of 28 teaspoons of dressing? Explain your reasoning.[br]
Andre and Han are moving boxes. Andre can move 4 boxes every half hour. Han can move 5 boxes every half hour. How long will it take Andre and Han to move all 72 boxes? Explain your reasoning.[br]
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Information: IM 6.2.16 Lesson: Solving More Ratio Problems