1999 AMC 8 #9
Source:
June 17, 2011
Problem Statement
Three flower beds overlap as shown. Bed A has 500 plants, bed B has 450 plants, and bed C has 350 plants. Beds A and B share 50 plants, while beds A and C share 100. The total number of plants is [asy]
draw((0,0)--(3,0)--(3,1)--(0,1)--cycle);
draw(circle((.3,-.1),.7));
draw(circle((2.8,-.2),.8));
label("A",(1.3,.5),N);
label("B",(3.1,-.2),S);
label("C",(.6,-.2),S);[/asy]