Why does the general public always seem to blame the people on the welfare program, for the countries economic problems?

For one instance a family of four on welfare here in B.C takes in about $16000 a year, way below the poverty line.
But when our Prime minister retires he will be able to collect a government pension of $300,000 a year.
Now you tell me who is a bigger drain on the economy?
You must be totally broke, no assets, no money in the bank to qualify to even get welfare.
Think it is the same for a politician to qualify for their fairy tail pensions?
I am starting to think the problem isn’t as much with welfare bums, but maybe politicians on fat cat pensions paid with tax payer dollars, that can still go out and work in the private sector after leaving public office.
So is the problem the people on welfare, or maybe is the Governments trying to shift our attention that way so they can get away with the loot?