Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p)(p)left parenthesis, p, right parenthesis he will need to make 60 cookies. He assumes each cookie will have the same number of sprinkles.
Cutting through all that gibberish ....
60/24 = x/384
24x = 60*384
x = 60*384/24 = 960 sprinkles
Well, if Stan's recipe makes 24 cookies with 384 sprinkles, we can do a little sprinkle math. Let's assume that each cookie requires the same amount of sprinkles. So, we can figure out the sprinkle-to-cookie ratio.
If 24 cookies require 384 sprinkles, we can write that as a ratio: 24 cookies/384 sprinkles. Now, we can use this ratio to find out how many sprinkles we'll need for 60 cookies.
Using a little cross-multiplication and simplification (which isn't always easy in life, by the way), we get: 24/384 = 60/p, where p is the number of sprinkles needed for 60 cookies.
Now, let's solve for p. Drumroll, please... p = 960! So, Stan will need 960 sprinkles to make 60 cookies. That's a lot of sprinkles, but hey, who doesn't want a cookie overload? Happy baking!
To find out how many sprinkles Stan will need to make 60 cookies, we can use a proportion.
Let's set up a proportion:
(24 cookies) : (384 sprinkles) = (60 cookies) : (p sprinkles)
To find the value of p, we can cross-multiply and solve for p.
24p = 60 x 384
Simplifying the equation:
24p = 23040
Dividing both sides by 24 to isolate p:
p = 23040 / 24
Calculating the value of p:
p = 960
Therefore, Stan will need 960 sprinkles to make 60 cookies.
To find out how many sprinkles Stan will need to make 60 cookies, we can set up a proportion based on the number of cookies and the number of sprinkles:
Number of cookies: Number of sprinkles
24 cookies: 384 sprinkles
We can find the number of sprinkles needed for 60 cookies using the proportion:
24 cookies / 384 sprinkles = 60 cookies / p sprinkles
To solve for p, we cross-multiply and then solve for p:
24p = 384 * 60
24p = 23040
p = 23040 / 24
p = 960
Therefore, Stan will need 960 sprinkles to make 60 cookies.