I visited someone in hospital i came home washed hands with washing up liquid and made food for me and sister can we get mrsa this way?

Not likely: As MRSA isn't so much transferred through food. But if for some reason if you wrre exposed to MRSA and your hand washing didn't kill it off. If you touched your sister it's possible to have spread it to her. Nonetheless you are doing well by washing your hands. In the hospital don't forget to use the antimicrobial hand gels/foam.

MRSA: if you did not come in direct contact with MRSA and especially if you washed your hands with warm soapy water the risk is minimal

.: If you took proper hygiene techniques the way you mentioned above, the chances are rare but not zero

Possible: MRSA is a common problem in hospitals. It is unlikely you will get MRSA, and even if you were exposed to it, it is unlikely that you will get an infection from it. However, all of that is possible. Next time, remember to wash hands in the hospital before leaving. That way, you don't contaminate everything you touch on your way home.