We operate as follows:
**First problem:
*We divide the total number of messes by the value of the sum of the ratio.
391 / (14 + 9) = 17
After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:
17 * 14 = 238
So, we can expect 238 Gooey messes.
**Second problem:
*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:
![(24)/(76)=(174)/(NP)\Rightarrow NP=(174\cdot76)/(24)\Rightarrow NP=551](https://img.qammunity.org/2023/formulas/mathematics/high-school/z6mj2rxwbo690gzd4ekryqqgfll45yjwfn.png)
So, we would expect 551, not purple yogi berries.