The duration of two films are modeled below. Film A: Film B The ratio of the length of Film A to the length of Film B is _ : _. The length.

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Presentation transcript:

The duration of two films are modeled below. Film A: Film B The ratio of the length of Film A to the length of Film B is _______ : _______. The length of Film A is of the length of Film B. The length of Film B is of the length of Film A.

Exercise 1 1. Sammy and Kaden went fishing using live shrimp as bait. Sammy brought 8 more shrimp than Kaden brought. When they combined their shrimp they had 32 shrimp altogether. How many shrimp did each boy bring? 2. What is the ratio of the number of shrimp Sammy brought to the number of shrimp Kaden brought?

3. Express the number of shrimp Sammy brought as a fraction of the number of shrimp Kaden brought. 4. What is the ratio of the number of shrimp Sammy brought to the total number of shrimp? 5. What fraction of the total shrimp did Sammy bring?

Exercise 2 A food company that produces peanut butter decides to try out a new version of its peanut butter that is extra crunchy, using twice the number of peanut chunks as normal. The company hosts a sampling of its new product at grocery stores and finds that 5 out of every 9 customers prefer the new extra crunchy version. Let’s make a list of ratios that might be relevant for this situation. The ratio of number preferring new extra crunchy to total number surveyed is _________. The ratio of number preferring regular crunchy to the total number surveyed is _________. The ratio of number preferring regular crunchy to number preferring new extra crunchy is _________. The ratio of number preferring new extra crunchy to number preferring regular crunchy is _________.

Let’s use the value of each ratio to make multiplicative comparisons for each of the ratios we described here. The number preferring new extra crunchy is _________ of the total number surveyed. The number preferring regular crunchy is _________ of the total number surveyed. The number preferring regular crunchy is _________ of those preferring new extra crunchy. The number preferring new extra crunchy is _________ of those preferring regular crunchy.

 If the company normally sells a total of 90,000 containers of regular crunchy peanut butter, how many containers of new extra crunchy peanut butter should it produce, and how many containers of regular crunchy peanut butter should it produce? What would be helpful in solving this problem? Does one of our comparison statements above help us?

Try these next scenarios: If the company decides to produce 2,000 containers of regular crunchy peanut butter, how many containers of new extra crunchy peanut butter would it produce? If the company decides to produce 10,000 containers of new extra crunchy peanut butter, how many containers of regular crunchy peanut butter would it produce? If the company decides to only produce 3,000 containers of new extra crunchy peanut butter, how many containers of regular crunchy peanut butter would it produce?