Last Problem:
There are 14 wine glasses on a table. Seven are full. Seven are half full. Without changing the amount of wine in any glass, divide the glasses into three groups so that each group has the same total amount of wine.
Answer:
Group One: Three full wine glasses. One half full glass
Group Two: Two full wine glasses; Three half full glasses
Group Three: Two full wine glasses. Three half full glasses
Today’s Problem:
There are exactly 40 flowers, red and purple, in a garden. And, no matter which two flowers you pick, at least one will be purple. How many red flowers are there in the garden?