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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?

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Weekly Problem 43 - 2013

Weekly Problem 43 - 2013

Put Out the Flags

Stage: 3 Challenge Level: Challenge Level:1

Tim and Beth both have a string of flags. They have red flags, white flags, blue flags, and union jacks.

Flags

They both counted how many of each colour they had.

Tim's flags are $50$% blue, $35$% red, $10$% white and $5$% union jacks.

Beth's flags are $40$% blue, $32$% red, $20$% white and $8$% union jacks.

They both have as few flags as is possible with those percentages.

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?


If instead you know that Tim and Beth have $10$ union jacks between them how many flags do they have altogether?