Yup I wrote one.
2CH3OH + 2C2H5OH + 9O2 6CO2 + 10 H2O
This is correct only if there are equimolar amounts of each. It is very unlikely to be correct and that is probably why you have not got the right answer.
I assume from your question the sample was 0.220g of the mixture and it produced 0.343g of carbon dioxide. Always ensure you use the correct units.
1) Set up a balanced equation for the combustion of methanol.
2) Set up a balanced equation for the combustion of ethanol.
3) Assuming there are x grams of methanol and y grams of ethanol set up and equation that releates x and y to the mass of carbon dioxide formed.
Solve for x and y