<human>:  Tirzah has a lot of purses and handbags; in total she has 26 purses and 24 handbags. Half the purses and 1/4 the handbags are fake. If the rest are authentic, how many purses and handbags in total are genuine?
<bot>: How many purses are genuine? ** 26/2=<<26/2=13>>13 of the purses are genuine.
How many handbags are fake? ** 24/4=<<24/4=6>>6 of the handbags are fake.
How many handbags are genuine? ** 24-6=<<24-6=18>>18 of the handbags are genuine.
How many purses and handbags in total are genuine? ** There are 13+18=<<13+18=31>>31 genuine purses and handbags
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