A political commentator summed up an election result. Given that
there were just four candidates and that the figures quoted were
exact find the number of votes polled for each candidate.
Problem one was solved by 70% of the pupils. Problem 2 was solved
by 60% of them. Every pupil solved at least one of the problems.
Nine pupils solved both problems. How many pupils took the exam?
Weekly Problem 43 - 2013
Tim and Beth both have a string of flags. They have red flags,
white flags, blue flags, and union jacks.
They both counted how many of each colour they had.
Tim's flags are $50$% blue, $35$% red, $10$% white and $5$%
Beth's flags are $40$% blue, $32$% red, $20$% white and $8$%
They both have as few flags as is possible with those
Who has the most flags?
Who has the most red flags?
Who has the most blue flags?
How many union jacks do they have between them?