Answer: The required amount of money spent on each of the two video games is less than or equal to 45.25.
Step-by-step explanation: Given that Zachary is planning to send a video game to each of his two brothers. He buys the same game for both brothers and pays $4.75 to ship each game.
We are to write and solve an inequality find the amount spent on each game without spending more than $100.
Let $x be the amount that is spent on each of the two video games.
Then, according to the given information, the inequality can be written and solved as follows :
[tex]2x+2\times4.75\leq 100\\\\\Rightarrow 2x+9.5\leq100\\\\\Rightarrow 2x\leq100-9.5\\\\\Rightarrow 2x\leq90.5\\\\\Rightarrow x\leq\dfrac{90.5}{2}\\\\\Rightarrow x\leq 45.25.[/tex]
Thus, the required amount of money spent on each of the two video games is less than or equal to 45.25.
