Answer
$*$
$600$ Classic Tuxedos
$80$ Designer Tuxedos
$*$
$450$ Classic Tuxedos
$160$ Designer Tuxedos
$*$
$300$ Classic Tuxedos
$240$ Designer Tuxedos
Work Step by Step
We have the following information:
Classic tuxedo($x$) ~ $\$80$
Designer tuxedo($y$) ~ $\$150$
Let us represent a single Classic tuxedo by $x$ and a Designer tuxedo by $y$.
Also let the total revenue be $R$
According to the information, we can write the formula for $R$:
$R=80x+150y$
Required Revenue is given to be $\$60,000$
$60000=80x+150y$
The number of classic tuxedos($x$) to be rented is given, so we have to write the formula for Designer tuxedos($y$).
$150y=60000-80x$
simplify:
$15y=6000-8x$
$y=400-\frac{8x}{15}$
$*$ $x=600$
$y=400-\frac{8\times 600}{15}$
$y=400-320$
$y=80$
$80$ Designer Tuxedos
$*$ $x=450$
$y=400-\frac{8\times 450}{15}$
$y=400-240$
$y=160$
$160$ Designer Tuxedos
$*$ $x=300$
$y=400-\frac{8\times 300}{15}$
$y=400-160$
$y=240$
$240$ Designer Tuxedos
