Questions: Which of the following two recipes given below will create a juice that will taste more "orangey"? Use ratio tables to explain. Recipe A: 2 cups of orange concentrate to 3 cups of water Recipe B: 6 cups of orange concentrate to 7 cups of water Choose the correct answer below. A. Recipe A uses less water so it will taste more "orangey." B. When both recipes use 12 cups of concentrate, recipe A uses less water, so it will taste more "orangey." C. When both recipes use 12 cups of concentrate, recipe B uses less water, so it will taste more "orangey." D. Recipe B uses more concentrate so it will taste more "orangey."

Which of the following two recipes given below will create a juice that will taste more "orangey"? Use ratio tables to explain.
Recipe A: 2 cups of orange concentrate to 3 cups of water
Recipe B: 6 cups of orange concentrate to 7 cups of water

Choose the correct answer below.
A. Recipe A uses less water so it will taste more "orangey."
B. When both recipes use 12 cups of concentrate, recipe A uses less water, so it will taste more "orangey."
C. When both recipes use 12 cups of concentrate, recipe B uses less water, so it will taste more "orangey."
D. Recipe B uses more concentrate so it will taste more "orangey."
Transcript text: Which of the following two recipes given below will create a juice that will taste more "orangey"? Use ratio tables to explain. Recipe A: 2 cups of orange concentrate to 3 cups of water Recipe B: 6 cups of orange concentrate to 7 cups of water Choose the correct answer below. A. Recipe A uses less water so it will taste more "orangey." B. When both recipes use 12 cups of concentrate, recipe $A$ uses less water, so it will taste more "orangey." C. When both recipes use 12 cups of concentrate, recipe B uses less water, so it will taste more "orangey." D. Recipe B uses more concentrate so it will taste more "orangey."
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Solution

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Solution Steps

Step 1: Calculate the Ratios for Each Recipe

For Recipe A, the amount of orange concentrate is 22 cups and the amount of water is 33 cups. The total amount of liquid is: TotalA=2+3=5 cups \text{Total}_A = 2 + 3 = 5 \text{ cups} The ratio of orange concentrate to total liquid for Recipe A is: RatioA=25=0.4 \text{Ratio}_A = \frac{2}{5} = 0.4

For Recipe B, the amount of orange concentrate is 66 cups and the amount of water is 77 cups. The total amount of liquid is: TotalB=6+7=13 cups \text{Total}_B = 6 + 7 = 13 \text{ cups} The ratio of orange concentrate to total liquid for Recipe B is: RatioB=6130.4615 \text{Ratio}_B = \frac{6}{13} \approx 0.4615

Step 2: Compare the Ratios

Now we compare the two ratios: RatioA=0.4andRatioB0.4615 \text{Ratio}_A = 0.4 \quad \text{and} \quad \text{Ratio}_B \approx 0.4615 Since 0.4615>0.40.4615 > 0.4, Recipe B has a higher ratio of orange concentrate to total liquid.

Final Answer

The recipe that will taste more "orangey" is Recipe B. Thus, the answer is \\(\boxed{D}\\).

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