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? Let's think step by step and output the final answer after "####".
user
26/2=<<26/2=13>>13 of the purses are genuine.
24/4=<<24/4=6>>6 of the handbags are fake.
24-6=<<24-6=18>>18 of the handbags are genuine.
There are 13+18=<<13+18=31>>31 genuine purses and handbags
#### 31
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?
train