Answer :
Answer:
5 1/2 cups
Step-by-step explanation:
I actually just did this question for someone else.
you have to do 11/2
to check your answer just use the inverse operation and flip it to make it 2x5.5=11
Final answer:
To solve this proportion problem, set up a proportion comparing the recipe's ratio of cinnamon to sweet potato (3/2) to the unknown ratio (11/x), solve for x to find the amount of sweet potato (approximately 7.33 cups). Verify the answer by converting units.
Explanation:
The subject of the question is a mathematical ratio problem. Specifically, the problem asks us to determine how many cups of sweet potato we should use for 11 teaspoons of cinnamon, given that the original recipe uses 3 teaspoons of cinnamon for every 2 cups of sweet potatoes.
To solve this problem, we can set up a proportion that compares the ratio of cinnamon to sweet potato in the recipe to the ratio of cinnamon to sweet potato we want to find out:
3/2 = 11/x
Where x represents the unknown quantity (cups of sweet potato) we are looking to find. To solve for x, we can cross-multiply and divide:
3*x = 2*11
Which simplifies to:
3x = 22
Finally, divide both sides of the equation by 3 to solve for x:
x = 7.33
Therefore, you should use approximately 7.33 cups of sweet potatoes for 11 teaspoons of cinnamon.
To check our answer, we can use the method of unit conversion. We know that for each cup of sweet potato, we need 1.5 teaspoons of cinnamon (3 tsp for 2 cups). So:
11 tsp / 1.5 tsp per cup = 7.33 cups
Which matches our original answer - so we can be confident it's correct!
Learn more about Ratio and Proportion here:
https://brainly.com/question/26974513
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