How do you solve these types of problems?

<p>In an assortment of cereals, 23 types contain oats and 25 types contain rice. Some of these cereals contain both oats and rice. If 16 cereals in this assortment contain oats but not rice, how many cereals contain rice but not oats?</p>

<p>23 cereals contain oats
16 cereals, ONLY oats
Therefore, the remaining 7 cereals must contain oats but not ONLY oats–i.e., they must contain both oats and rice.
25 cereals contain rice
7 cereals contain rice AND oats
18 cereals contain only rice
ANSWER: 18</p>

<p>Oh, that’s easy enough. I went back to this problem and I thought that the answer was 14(the problem number), and I couldn’t wrap my head around how you could possibly find the answer to that. But you are correct, I rechecked it and the answer is 18.</p>