Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

We first write the word problem as an equation. Next, we solve the equation using substitution. Doing this, we find: $$x+y=60 , 2.5x+4.15y=179.7 \\ \frac{5}{2}\left(60-y\right)+\frac{83}{20}y=\frac{1797}{10} \\ y=18 \\ x=60-18 \\ x=42$$