SMOJ wrote: Let $a,b,c,d$ be positive integers such that $a+c=20$ and $\frac{a}{b}+\frac{c}{d}<1$. Find the maximum possible value of $\frac{a}{b}+\frac{c}{d}$. https://artofproblemsolving.com/community/c6h1665815p10584572 https://artofproblemsolving.com/community/c6h42565p269096 https://artofproblemsolving.com/community/c4h1666309p10592646

A basketball team's players were successful on $50\%$ of their two-point shots and $40\%$ of their three-point shots, which resulted in 54 points. They attempted $50\%$ more two-point shots than three-point shots. How many three-point shots did they attempt?