A long-sleeve shirt has 8 front buttons and 2 cuff buttons.
A short-sleeve shirt has 6 front buttons and no cuff buttons.
The factory which makes 'Slimboy Shirts' uses 10 times as many front buttons as cuff buttons.
What is the ratio of long-sleeve shirts to short-sleeve shirts produced by the factory?
If you liked this problem, here is an NRICH task
which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.