Schools Mathematics Grand Challenge

Week two's Puzzles

Problem 3:

A bag contains 28 red, 31 green, 36 black, 29 orange and 27 yellow wine gums. Michael has been blindfolded so that he cannot see into the bag. What is the least number of wine gums that Michael must choose from the bag to guarantee that he has chosen at least two of the same colour?

Problem 4:

The total cost of a box of chocolates is 11 euro - this includes the cost of the chocolates and the cost of the box. If the box costs 7 euro less than the chocolates, how much do the chocolates cost?

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