Alpha and Beta owned Greenacre, a large farm, in fee simple as tenants in common, each owning an undivided one-half interest. For five years Alpha occupied Greenacre and conducted farming operations. Alpha never accounted to Beta for any income but Alpha did pay all real estate taxes when the taxes were due and kept the buildings located on Greenacre insured against loss from fire, storm, and flood. Beta lived in a distant city and was interested only in realizing a profit from the sale of the land when market conditions produced the price Beta wanted. Alpha died intestate survived by Hera, Alpha's sole heir. Thereafter Hera occupied Greenacre but was inexperienced in farming operations. The result was a financial disaster. Hera failed to pay real estate taxes for two years. The appropriate governmental authority held a tax sale to recover the taxes due. At such sale Beta was the only bidder and obtained a conveyance from the appropriate governmental authority upon payment of an amount sufficient to discharge the amounts due for taxes, plus interest and penalties, and the costs of holding the tax sale. The amount paid was one-third of the reasonable market value of Greenacre. Thereafter Beta instituted an appropriate action against Hera to quiet title in and to recover possession of Greenacre. Hera asserted all defenses available to Hera. Except for the statutes related to real estate taxes and tax sales, there is no applicable statute. In this lawsuit, Beta is entitled to a decree quieting title so that Beta is the sole owner in fee simple of Greenacre 
because Beta survived Alpha. because Hera defaulted in the obligations undertaken by Alpha. unless Hera pays Beta one-half of the reasonable market value of Greenacre. unless Hera pays Beta one-half of the amount Beta paid for the tax deed.