Brain Teasers

1. Covent Garden Puzzle: Mrs. Smith and Mrs. Jones had equal number of apples but Mrs. Jones had larger fruits and was selling hers at the rate of two for a penny, while Mrs. Smith sold three of hers for a penny. Mrs. Smith was for some reason called away and asked Mrs. Jones to dispose of her stock.
Mrs. Jones mixed them together and sold them of at the rate of five apples for two pence. All were sold but when they came to divide the proceeds they found that they were seven pence short of what they should have got if they had sold them at the original price.
Supposing that they divided the money equally, each taking one-half, the problem is to tell just how much money Mrs. Jones lost by the unfortunate partnership?
From <http://www.mathsisfun.com/aboutmathsisfun.html>
2. Look at the set of three squares in the figure. The angles A, B and C are marked. Can you show that the sum of angles B and C equals A (A=B+C)?
From Martin Gardner's Mathematical Circus