Answer :
Answer:
The amount of a controller is $37.50.
Step-by-step explanation:
Given:
Kevin wants to buy a video game for $45.
He also wants to buy 2 controllers.Each controller cost the same amount.
He has a total of 120$ to spend.
Now, to write and solve an inequality.
Total amount of money to spend = $120.
The price of video game = $45.
The number of controllers = 2.
As, given each controller cost the same amount.
Let the cost of controller be [tex]x.[/tex]
Now, to write an inequality:
[tex]x+x+45\leq 120[/tex]
[tex]2x+45\leq 120[/tex]
So, solving the inequality:
[tex]2x+45\leq 120[/tex]
Subtracting both sides by 45 we get:
[tex]2x\leq 75[/tex]
Dividing both sides by 2 we get:
[tex]x\leq 37.5[/tex]
Therefore, the amount of a controller is $37.50.
Answer:
The inequality representing money he can spend on each controller is [tex]45+2x\leq 120[/tex].
Kevin can spend maximum of $37.5 on each controller game.
Step-by-step explanation:
Given:
Cost of video game = $45
Number of controllers to buy = 2
Total money to spend = $120
We need to find how much he can spend on each controller.
Solution:
Let the money he can spend on each controller be 'x'.
So we can say that;
Cost of video game plus Number of controllers to buy multiplied by money he can spend on each controller should be less than or equal to Total money to spend.
framing in equation form we get;
[tex]45+2x\leq 120[/tex]
Hence the inequality representing money he can spend on each controller is [tex]45+2x\leq 120[/tex].
On solving the above Inequality we get;
First we will subtract both side by 45 we get;
[tex]45+2x-45\leq 120-45\\\\2x\leq 75[/tex]
Now dividing both side by 2 we get;
[tex]\frac{2x}{2x}\leq \frac{75}{2}\\\\x\leq \$37.5[/tex]
Hence Kevin can spend maximum of $37.5 on each controller game.