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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. What is the total number of plants? [asy] /* AMC8 1999 #9 Problem */ draw((0,0)--(3,0)--(3,1)--(0,1)--cycle); draw(circle((.15,0), .5)); draw(circle((3,-0.25), .65)); label("C", (.2,-0.25)); label("B", (3.25, -0.25)); label("A", (1.5, 0.45)); [/asy]

 Feb 20, 2015

Best Answer 

 #1
avatar+23254 
+5

Bed A has 500 plants.

Bed B has 450 plants, but 50 of them are in Bed A, so there are only 400 more plants,

Bed C has 350 plants, but 100 of them are in Bed A, so there are only 250 more plants.

Adding 500 + 400 + 250  =  1150 total plants.

 Feb 20, 2015
 #1
avatar+23254 
+5
Best Answer

Bed A has 500 plants.

Bed B has 450 plants, but 50 of them are in Bed A, so there are only 400 more plants,

Bed C has 350 plants, but 100 of them are in Bed A, so there are only 250 more plants.

Adding 500 + 400 + 250  =  1150 total plants.

geno3141 Feb 20, 2015

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