Kathy and Omar are planning a party to honor the teachers at their school. They each suggest a recipe for apple cider punch to serve at the party. Kathy and Omar are planning a party to honor the teachers at their school. They each suggest a recipe for apple cider punch to serve at the party.
Kathy’s Recipe
13 over 4 parts apple cider
31 fourth parts ginger ale
Omar’s Recipe
31 half parts apple cider
21 half parts ginger ale
For each recipe, write a unit rate to represent the parts of apple cider per part of ginger ale. Then, determine which recipe will have the stronger apple taste. Explain how you determined your answer.
Well, let's take a look at these recipes and do some math!
For Kathy's recipe, she uses 13/4 parts of apple cider and 31/4 parts of ginger ale. To find the unit rate, we divide the parts of apple cider by the parts of ginger ale: 13/4 divided by 31/4, which simplifies to 13/31... or approximately 0.419.
For Omar's recipe, he uses 31/2 parts of apple cider and 21/2 parts of ginger ale. Again, we find the unit rate by dividing the parts of apple cider by the parts of ginger ale: 31/2 divided by 21/2, which simplifies to 31/21... or approximately 1.476.
Now, let's talk taste! Since the unit rate for Kathy's recipe is smaller than the unit rate for Omar's recipe, that means there is less apple cider per part of ginger ale in Kathy's recipe. So, in terms of apple taste, Kathy's recipe will have a milder apple flavor compared to Omar's recipe, which has a higher ratio of apple cider to ginger ale.
Hope that answers your question with a side of apple humor!
To find the unit rate for each recipe, we need to determine the amount of apple cider per part of ginger ale.
For Kathy's recipe:
- Apple cider: 13/4 parts
- Ginger ale: 31/4 parts
To find the unit rate, divide the apple cider parts by the ginger ale parts:
- Apple cider per part of ginger ale = (13/4) / (31/4)
- Simplifying, we get: Apple cider per part of ginger ale = 13/31
So, Kathy's recipe has an apple cider to ginger ale unit rate of 13/31.
For Omar's recipe:
- Apple cider: 31/2 parts
- Ginger ale: 21/2 parts
Similarly, find the unit rate by dividing apple cider parts by ginger ale parts:
- Apple cider per part of ginger ale = (31/2) / (21/2)
- Simplifying, we get: Apple cider per part of ginger ale = 31/21
So, Omar's recipe has an apple cider to ginger ale unit rate of 31/21.
To determine which recipe will have the stronger apple taste, we compare the two unit rates. The greater the unit rate, the stronger the apple taste.
Comparing the unit rates:
- Kathy's recipe: 13/31
- Omar's recipe: 31/21
By comparing the two unit rates, we see that the unit rate of 31/21 in Omar's recipe is greater than the unit rate of 13/31 in Kathy's recipe.
Therefore, Omar's recipe will have the stronger apple taste because it has a higher apple cider to ginger ale ratio.
To find the unit rate for each recipe, we need to divide the parts of apple cider by the parts of ginger ale.
For Kathy's recipe:
Apple cider = 13/4 parts
Ginger ale = 31/4 parts
The unit rate for Kathy's recipe is (13/4) / (31/4) = 13/31, which means for every 31 parts of ginger ale, there are 13 parts of apple cider.
For Omar's recipe:
Apple cider = 31/2 parts
Ginger ale = 21/2 parts
The unit rate for Omar's recipe is (31/2) / (21/2) = 31/21, which means for every 21 parts of ginger ale, there are 31 parts of apple cider.
To determine which recipe will have a stronger apple taste, we compare the unit rates. The larger the ratio, the stronger the apple taste. Since 31/21 is larger than 13/31, Omar's recipe will have a stronger apple taste.