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The amount you have if in savings is counted against the 27,250 in assets.
Bank accounts, savings, stocks, real estate and other resources that are used to determine if you are eligible for benefits programs, such as Extra Help. Your primary residence and one car are not considered assets. If you are married and live in the same household as your spouse, your assets will be added together to determine eligibility for benefits.
The cash form the sale of your home would count but you can still apply even if you are a little over because of the amount.
They will add that $30k because it is cash it is not a house yet.
They may not turn you down or they may. It depends on how long you have been holding this money and how soon you are replacing your home.