MathDB

19

Part of 1996 AMC 8

Problems(1)

1996 AJHSME Problem 19

Source:

7/10/2011
The pie charts below indicate the percent of students who prefer golf, bowling, or tennis at East Junior High School and West Middle School. The total number of students at East is 20002000 and at West, 25002500. In the two schools combined, the percent of students who prefer tennis is
[asy] unitsize(18); draw(circle((0,0),4)); draw(circle((9,0),4)); draw((-4,0)--(0,0)--4*dir(352.8)); draw((0,0)--4*dir(100.8)); draw((5,0)--(9,0)--(4*dir(324)+(9,0))); draw((9,0)--(4*dir(50.4)+(9,0)));
label("48%48\%",(0,-1),S); label("bowling",(0,-2),S); label("30%30\%",(1.5,1.5),N); label("golf",(1.5,0.5),N); label("22%22\%",(-2,1.5),N); label("tennis",(-2,0.5),N);
label("40%40\%",(8.5,-1),S); label("tennis",(8.5,-2),S); label("24%24\%",(10.5,0.5),E); label("golf",(10.5,-0.5),E); label("36%36\%",(7.8,1.7),N); label("bowling",(7.8,0.7),N);
label("<spanclass=′latex−bold′>EastJHS</span><span class='latex-bold'>East JHS</span>",(0,-4),S); label("<spanclass=′latex−bold′>2000students</span><span class='latex-bold'>2000 students</span>",(0,-5),S); label("<spanclass=′latex−bold′>WestMS</span><span class='latex-bold'>West MS</span>",(9,-4),S); label("<spanclass=′latex−bold′>2500students</span><span class='latex-bold'>2500 students</span>",(9,-5),S); [/asy]
(A) 30%(B) 31%(C) 32%(D) 33%(E) 34%\text{(A)}\ 30\% \qquad \text{(B)}\ 31\% \qquad \text{(C)}\ 32\% \qquad \text{(D)}\ 33\% \qquad \text{(E)}\ 34\%
percentAMC