# Brainteasers

22nd April 2005 at 01:00
Roses for sale

A florist took half her roses and arranged them in bunches of 7 roses.

There were 3 roses left over.

The florist took the other half of her roses and arranged them in bunches of 8 roses.

There were 4 roses left over.

What is the smallest number of roses the florist could have altogether?

Take it by the glass

A bottle of lemonade is three-fifths full.

When a glass of lemonade is poured out, the bottle is only half full.

What fraction of a full bottle of lemonade will remain after two more glasses have been poured out?

SOLUTIONS Roses for sale (age 8 to 12) There were 52 roses in each half, and 104 roses altogether. Take it by the glass (age 10-13) Three tenths of a full bottle. One glass will contain 35 - 12 = 110 of a full bottle, so a full bottle holds 10 glasses. When two more glasses have been poured out, the bottle will contain 12 - 15 = 310 of a full bottle.

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