Potatohead Corporation had $150,000$ ordinary shares outstanding on January $1,2023.$ On April $1,2023,$ Potatohead issued an additional $80,000$ shares. On July $1,2023,$ Potatohead repurchased $60,000$ ordinary shares and cancelled them. On October $1,2023,$ Potatohead

issued an additional $20,000$ ordinary shares.

Required:

a$.$ What was the weighted average number of ordinary shares outstanding in $2023?$

b$.$ Assume that on July $1,2023,$ Potatohead repurchased the shares and held them as treasury shares. Will the weighted average number of ordinary shares outstanding in $2023$ change from the amount in part $($a$)?$ Why or why not?