Thread: A little help with percentages!

Hello Maths people... I need to answer this problem for tomorrow but I'm just completely stuck. Any genius out there please??

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, 25% red, 10% white and 15% union jacks.
Beth's flags are 40% blue, 24% red, 20% white and 16% union jacks.
They both have as few flags as possible with those percentages.

1- Who has the most flags?
2 - Who has the most red flags?
3 - Who has the most blue flags?
4 - How many union jacks do they have between them?

I will just help with number 1, I figure that solves everything


Tim's flags are 50% blue, 25% red, 10% white and 15% union jacks.
Beth's flags are 40% blue, 24% red, 20% white and 16% union jacks.

Dealing with Tim, all his flags must have integer values
, hence T must be a multiple of 10
, hence T must be a multiple of 20.
, hence T must be a multiple of 2
, hence T must be a multiple of 4

Find the L.C.M., which is 20 so Tim has 20 flags

For Beth
, B multiple of 5
B multiple of 25
B multiple of 5
B multiple of 25.

L.C.M.=25
Beth has 25 flags

Everything else is just using the given data to solve