Mathland Election

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.

One or Both

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
What is 20% of 30% of 40% of £50?

Put Out the Flags

Stage: 3 Challenge Level:

They must have a whole number of flags!

Tim could have $100$ flags but could he have less than $100$ flags?

$50$% of Tim's flags are blue, what does this tell you about the number of flags Tim must have?
As $35$% of Tim's flags are red, what does this tell you about the number of flags Tim must have?

It might help to be able to write $50$% and $35$% as fractions.