<p>A study of 400 fruits orchards show that 250 of the orchards grew apples, 140 grew pears, 95 grew plums, 70 grew only apples and pears, 30 grew only apples and plums, 45 grew only pears and plums, and 10 grew all three.</p>
<p>1.How many of the orchards grew only apples or plums?</p>
<p>A. 30
B.130
C.150
D.180
E.345</p>
<p>Answer is 150 I believe. </p>
<li>How many of the orchards grew no apples, pears, or plums?</li>
</ol>
<p>A. 0
B. 80
C. 165
D. 235
E. 320</p>
<p>Answer:80</p>
<p>*note, this is not in the blue book</p>
<p>so, for the first one, there are 250 orchards that grow apples. so the answer is 250 - 70 (because 70 grew both apples and pears, and not only apples) - 30 (because 30 grew both apples and plums, and not only apples) - 10 (because 10 grew everything, not just apples). that equals 140 that grow only apples.</p>
<p>there are 95 that grow plums. so its 95 - 30 - 45 - 10. that equals 10 that grow only plums.</p>
<p>so thats 140 plus 10 equals 150, the answer.</p>
<p>for the second one, do you know what venn diagrams are? you dont have to draw one to do this problem, but the basic idea is the same. you have to figure out how the orchards overlap. for example, 250 orchards grow apples and 140 grow pears, but doesnt that mean that there are 390 orchards, because some of them grow both. so they arent separate orchards. hopefully that makes sense.</p>
<p>from question one, we know that there are 140 that only grow apples and there are 10 that only grow plums. you can do the same thing to find the number that only grow pears: 15. it is given that there are 70 that grow apples and pears, 30 that grow apples and plums, 45 that grow pears and plums, and 10 that grow everything. so if you add all those separate orchards up, it comes to 320. the question says that 400 orchards were studied, so 400-320 equals 80 orchards.</p>
<p>hopefully this helps.</p>
<p>Wow…that was quite simple…Thanks a lot.</p>