A recipe calls for 2 1/2 cups of chocolate chips to make a batch of five dozen (60) cookies. On average how many cups of chocolate chips would be in each cookie?
I have tried everything and still can not get the answer
2.5/60 = _______ cup
To determine how many cups of chocolate chips are in each cookie, you need to divide the total amount of chocolate chips used for the batch by the total number of cookies.
Step 1: Convert the number of cookies from dozens to units:
Since you have five dozen cookies, you can multiply 5 by 12 to get the total number of cookies:
5 dozen * 12 cookies/dozen = 60 cookies.
Step 2: Divide the total cups of chocolate chips by the total number of cookies:
The recipe calls for 2 1/2 cups of chocolate chips for the batch of 60 cookies.
To divide 2 1/2 by 60, you can convert 2 1/2 to an improper fraction:
2 1/2 = 5/2
So, the calculation would be:
(5/2) cups of chocolate chips ÷ 60 cookies
Step 3: Simplify the fractions if necessary:
In this case, you can convert the mixed number to an improper fraction:
5/2 = 10/4
Now the calculation becomes:
(10/4) cups of chocolate chips ÷ 60 cookies
Step 4: Divide the fractions:
To divide fractions, you need to multiply the first fraction by the reciprocal of the second:
(10/4) ÷ 60 = (10/4) * (1/60)
Now, multiply across the numerators and across the denominators:
(10 * 1) / (4 * 60) = 10 / 240
Step 5: Simplify the fraction:
The fraction 10/240 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10:
10 ÷ 10 / 240 ÷ 10 = 1/24
So, on average, there would be 1/24 cups of chocolate chips in each cookie.