MATH SOLVE

4 months ago

Q:
# An individual wants to bring multiple copies of two comic books to a convention this week. There are 40 copies of the comic book the individual wants to sell (S), and 4 copies of a comic book the individual wants appraised (A), with a combined weight of 99.2 oz. The individual can only fit 80 oz. of comics in a bag. If the individual brings 30 copies of the comic book they want to sell (S), 2 copies to be appraised (A), the combined weight would be 72.6 oz. Calculate how much each comic (S) weighs.

Accepted Solution

A:

Answer:each comic S weights 2.3 oz. Step-by-step explanation:Since 40 copies of S and 4 copies of A weight 99.2 oz. and on the other hand we have that 30 copies of S and 2 copies of A weight 72.6 we are going to write this in two equations.[tex]40S+4A=99.2\\30S+2A=72.6\\[/tex]We are going to multiply the first equation by -1 and the second equation by 2. And we get: [tex]-40S-4A=-99.2\\60S+4A=145.2[/tex]If we sum both equations and solve for S we get: [tex]-40S-4A=-99.2\\60S+4A=145.2\\\\20S=46\\S=46/20\\S=2.3[/tex]Therefore, each comic S weights 2.3 oz.