Question 23
A team of workers are sent to two construction sites $A$ and $B$ respectively. The amount of work to be done at construction site $A$ is $50\%$ more than that at construction site $B$. In the morning, the number of workers sent to construction site $A$ is $3$ times the number of workers sent to site $B$. In the afternoon, the ratio of workers sent to construction site $A$ and $B$ is $7:5$. By the end of the day, the work at construction site $A$ is fully completed, while construction site $B$ still requires $8$ workers to work for another full day. Assuming the workers work that the same rate, find the total numbers of workers in this team.