Answer:
36 comic books and 339 Pokemon cards
Step-by-step explanation:
Let number of comic books be [tex]x[/tex] and number of Pokemon cards be [tex]y[/tex].
Total number of comic books and Pokemon cards is [tex]375[/tex]. So we get the equation
[tex]x+y=375\\\Rightarrow y=375-x[/tex]
Cost of one comic book is $5.79 and one Pokemon card is $3.35.
They need to make $1345 so we get the equation
[tex]5.79x+3.35y=1345\\\Rightarrow 5.79x+3.35(375-x)=1345\\\Rightarrow 5.79x-3.35x+3.35\times 375=1345\\\Rightarrow x=\dfrac{1345-3.35\times 375}{5.79-3.35}\\\Rightarrow x=36.37\approx 36[/tex]
[tex]y=375-x=375-36\\\Rightarrow y=339[/tex]
So, they need to sell approximately 36 comic books and 339 Pokemon cards.
