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 the extra 40 cookies that had sprinkles is
This is a revised question. Reiny answered some of the question as a part of my question was unclear. Please help with the other part. Thanks
9 + 10 = 21
final answers for any math question is always 21
Do not cheat Josh Grade 8 is a important year! DON'T CHEAT ON YOUR JET SET 1!!!
.75*260 = 195 with sprinkles
.78*(260+40) = 234 sprinkles with the new batch
so, 39 of the 40 had sprinkles
To determine the number of the extra 40 cookies that had sprinkles, we need to set up an equation using the given information.
Let's first calculate the number of cookies with sprinkles from the first 260 cookies. We know that 75% of the first 260 cookies had sprinkles.
Number of cookies with sprinkles from the first 260 = (75/100) * 260 = 0.75 * 260 = 195 cookies
Now, after Diane made 40 more cookies, the overall percentage of cookies with sprinkles rose to 78%. We need to find the number of cookies with sprinkles among the additional 40 cookies.
Let the number of cookies with sprinkles in the additional 40 be x.
The total number of cookies after adding the additional 40 cookies = 260 + 40 = 300
So, the total number of cookies with sprinkles after adding the additional 40 = 78% of 300 = (78/100) * 300 = 0.78 * 300 = 234 cookies
Now, to find the number of cookies with sprinkles among the additional 40 (x), we can set up an equation:
Number of cookies with sprinkles = (Number of cookies with sprinkles from the first 260) + (Number of cookies with sprinkles among the additional 40)
234 = 195 + x
Subtracting 195 from both sides, we get:
234 - 195 = 195 + x - 195
39 = x
Therefore, the number of the extra 40 cookies that had sprinkles is 39.