3.1+Mixing+Juice

CM Block E 1/28/09


 * Big Idea:** Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.


 * Essential Question:** What methods are there for comparing things?

__Notes in class__: __Must__ label or you wont get credit!

Work: Mix A: 2/3=2/5=40% Mix B: 1/4=1/5=20% Mix C: 4/8=1/2=1/3=33% Mix D: 3/5=3/8=38% B.  **Q:** //__which recipe will make juice that is the least “orangey”? Explain your answer.__// **A: Mix B will be the least orangey because it has more cups of H2O (water) than of concentrate.** Work: Mix A: 2/3=3/5=60% Mix B: 1/4=4/5=80% Mix C: 4/8=1/2=2/3=67% Mix D: 3/5=5/8=63% C. **Q:** //__Assume that each camper will get ½ cup of juice. For each recipe, how much concentrate and how much water are needed to make juice for 240 campers? Explain your answer.__// Work:240/2=120 120/2=60 cups of ojc and 60 cups of H2O Follow-Up: 1. **Q:** //__How did you use ratios in solving Problem 3.1?__//
 * 3.1 Mixing Juice **
 * A. **
 * Q: **//__ Which recipe will make juice that is the most “orangey”? Explain your answer. __//
 * A: Mix A will be the orangeiest because it has the most cups of concentrate. **
 * A: If each camper gets half a cup of juice, and there is 240 campers, then there needs to be 60 cups of concentrate and 60 cups of H2O (water). There needs to be 60 cups of each because when you divide 240 by 2 that gives you how many cups of __orange juice__. But then you would need to split that into two, since there are two ingredients to make the orange juice. So to serve 240 campers you need 60 cups of concentrate and H2O (water). **
 * A: I used ratios to solve problems, for example I used ratios to find percents for the juice problem. **
 * 2. **
 * Q: **//__ For each recipe, how much concentrate and how much water is needed to make 1 cup of juice? __//
 * A: For mix a you need 1/3 of concentrate to create one cup of orange juice. For mix b you need ¾ of concentrate to have one cup of orange juice. For mix c you need 4/8, or ½, of concentrate to create one cup of orange juice. For mix d you need 2/5 of concentrate to have one cup of orange juice. **