Diane is making cookies. Of the first 260 she made, 75% had sprinkles on top. After she made 40 more cookies, the overall percentage of cookies with sprinkles rose to 78%. The number of 40 extra cookies at a sprinkles is
number with sprinkles of the first 260
= .75(260) =195
she made 40 more, so for the first 300, sprinkles account for 78%
number of sprinkles for the first 300 = .78(300) = 234
Make use of this after you decide what the rest of your question is
supposed to ask.
Well, if Diane made 260 cookies and 75% of them had sprinkles, that means she had sprinkles on 195 cookies (260 x 0.75 = 195).
Now, after making 40 more cookies, she ended up with a total of 300 cookies (260 + 40 = 300).
And we know that the overall percentage of cookies with sprinkles rose to 78%.
If we let "x" represent the number of cookies with sprinkles out of the additional 40, then the equation would be:
(195 + x) / 300 = 0.78
Now, let's solve that equation and find the value of "x". But before we do that, let me tell you a joke. Why did the cookie go to school? Because it wanted to be a "smart cookie"!
Okay, back to the equation. We can simplify the equation to:
195 + x = 0.78 * 300
195 + x = 234
So, x = 234 - 195
x = 39
Therefore, the number of extra cookies with sprinkles is 39.
I hope that helps, and remember to always have a sprinkle of humor in your day!
To find the number of extra cookies with sprinkles, we can set up a proportion based on the given information.
Let x be the number of extra cookies with sprinkles.
The fraction of cookies with sprinkles out of the first 260 is 75/100, or 0.75. This means that 0.75 * 260 = 195 cookies had sprinkles.
After making 40 more cookies, the total number of cookies becomes 260 + 40 = 300.
The overall percentage of cookies with sprinkles is 78%, which can be written as 78/100, or 0.78. This means that 0.78 * 300 = 234 cookies had sprinkles.
Now we can set up the proportion:
x/40 = 234 - 195/300 - 260
Simplifying the right side:
x/40 = 39/40
Cross-multiplying:
x = 39
Therefore, the number of extra cookies with sprinkles is 39.
To find the number of extra cookies with sprinkles, we can set up an equation using the given information.
First, let's find the number of cookies with sprinkles in the first 260.
75% of 260 cookies with sprinkles = (75/100) * 260 = 0.75 * 260 = 195 cookies with sprinkles
Next, let's set up an equation using the overall percentage of cookies with sprinkles after making 40 more cookies.
Let's say the number of extra cookies with sprinkles is x.
After making 40 more cookies, the total number of cookies becomes 260 + 40 = 300
The new total number of cookies with sprinkles becomes 195 + x
The overall percentage of cookies with sprinkles is 78%, which can be written as 78/100 or 0.78.
So, the equation becomes:
(195 + x)/300 = 0.78
To solve for x, we can multiply both sides of the equation by 300:
195 + x = 0.78 * 300
195 + x = 234
Now, let's isolate x by subtracting 195 from both sides of the equation:
x = 234 - 195
x = 39
Therefore, the number of extra cookies with sprinkles is 39.