A recipe requires 1/4 cup of sugar to make 3 servings of cake. Kelly has 2 1/3 cups of sugar. How many servings of cake can Kelly make?
AAAaannndd the bot gets it wrong yet again!
x/(2 1/3) = 3/(1/4)
x = 28
To find out how many servings of cake Kelly can make, we need to determine how many times the 1/4 cup of sugar goes into the total amount of sugar she has.
First, we need to convert the mixed number 2 1/3 to an improper fraction:
2 1/3 = (2 * 3 + 1) / 3 = 7/3
Now we can subtract the 1/4 cup of sugar from the total amount of sugar Kelly has:
7/3 - 1/4 = (7 * 4 - 1 * 3) / (3 * 4) = 28/12 - 3/12 = 25/12
So, Kelly has a total of 25/12 cups of sugar.
Next, we need to divide the total cups of sugar by the amount of sugar required to make 3 servings:
(25/12) / (1/4) = (25/12) * (4/1) = 100/12 = 8 1/3
Therefore, Kelly can make about 8 servings of cake.
To find out how many servings of cake Kelly can make, we need to compare the amount of sugar she has to the amount of sugar required for one serving.
First, let's convert the mixed fraction "2 1/3" into an improper fraction.
2 1/3 can be written as (2 * 3 + 1) / 3 = 7/3.
Now, let's find out how many times 1/4 cup of sugar goes into 7/3 cups of sugar. We can do this by dividing 7/3 by 1/4.
To divide fractions, we take the reciprocal of the divisor (1/4 becomes 4/1) and multiply it by the dividend (7/3).
(7/3) * (4/1) = (7 * 4) / (3 * 1) = 28/3.
Now that we have the answer in improper fraction form, we can simplify it to a mixed fraction.
Recall that 28 divided by 3 is 9 with a remainder of 1.
So, 28/3 can be written as 9 1/3.
Therefore, Kelly can make 9 1/3 servings of cake using the 2 1/3 cups of sugar she has.