Question 277058
1.  draw three intersecting circles
___ draw a box around the three circles
___ label each of the circles ___ roses, tulips , orchids
___ label the box ___ flower gardners


fill in quantities that are given ___ usually starting with intersection of all groups
___ "11 grew all three types" ___ this number goes in the intersection of the three circles
___ "16 grew none of these three" ___ this number goes outside the circles, but inside the box


quantities must reflect already existing values


___ "20 grew both roses and tulips"
___ there are 20 in the roses/tulips intersection
___ but 11 of those have already been counted because they grow all three
___ so the remaining intersection area gets the quantity 9


similarly fill in orchids/tulips (4) and roses/orchids (15)


now fill in the roses, orchids, and tulips circles ___ taking into account the already existing values


you should now be able to answer (a) through (e) by using the filled in quantities


the other two questions use the same technique