Among other ingredients, a paella recipe calls for 3/4 pound of chorizo and 1/2 cup of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe? A. 3/10 pound of chorizo per cup of rice B. 8/15 pound of chorizo per cup of rice C. 1 1/2 pounds of chorizo per cup of rice D. 3 1/3 pounds of chorizo per cup of rice
Mathematics · High School · Thu Feb 04 2021
Answered on
To find the unit rate of pounds of chorizo per cup of rice, you divide the amount of chorizo by the amount of rice to see how much chorizo is used per one cup of rice.
You have 3/4 pound of chorizo and 1/2 cup of rice. Thus, the calculation you need to perform is:
(3/4) ÷ (1/2)
To divide fractions, you multiply the first fraction by the reciprocal (the flipped version) of the second fraction. The reciprocal of 1/2 is 2/1.
(3/4) x (2/1) = (3 x 2) / (4 x 1) = 6/4
Now, 6/4 can be simplified to:
6 ÷ 4 = 1 2/4, and 2/4 simplifies to 1/2 because both numerator and denominator can be divided by 2, so it becomes:
1 1/2
Therefore, the unit rate of pounds of chorizo per cup of rice in this recipe is 1 1/2 pounds of chorizo per cup of rice.
So, the correct answer is: C. 1 1/2 pounds of chorizo per cup of rice.