7.4.2 Cool Down Quiz

7.4.2 Cool Down Quiz

Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate. Han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate.

Whose orange juice mixture tastes stronger?

Explain or show your reasoning.

Poll

Do you know where to start to solve this problem?

Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate.

Han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate.

• Yes

• No

Here is one way

How many cups of water does each person use when they would use one cup of OJ?

Multiple Choice

If Clare used 1 cup of OJ, instead of 1/3 cup, how much water would she need?

*(remember she initially 2 1/2 cups of water for every 1/3 cup of OJ)

• 2 1/2

• 2 1/2 + 2 1/2 = 5

• 2 1/2 + 2 1/2 + 2 1/2 = 7.5

Nice JOB!

• Remember we have to use the UNIT RATE of 2 1/2 cups of water for EVERY 1/3 cup of juice

• So becasue it takes 1/3 + 1/3 + 1/3 to make ONE FULL CUP OF OJ we need to do the same for the water to get 7.5 cups

Multiple Choice

Han mised 1 2/3 cups of water with 1/4 cup of OJ.

How much water did Han use? (hint -- how do we get to one cup of OJ?)

• 1 2/3 + 1 2/3 = 3 1/3

• 1 2/3 + 1 2/3 + 1 2/3 + 1 2/3 = 6 2/3

• 1 2/3

Excellent

Han used 6 2/3 cups of water for his one cup of OJ

We know this because it took 1/4 + 1/4 + 1/4 + 1/4 = 1 cup

Multiple Choice

So who had the stronger drink?

• Han with 6 2/3 cups of water

• Clare with 7 1/2 cups of water

There are may different ways to solve this problem!

The key is to find the UNIT RATE! How much water for each cup of OJ!