Question

Kevin wants to buy a video game for $45. He also wants to buy 2 game

controllers. Each controller costs the same amount. He has a total of $120
to spend. Write and solve an inequality to find how much Kevin can spend
on each controller.

Answer 1

Kevin can spend up to $37.50 on each game controller after purchasing a video game for $45, given his budget of $120.

Step-by-step explanation:

Kevin wishes to buy a video game for $45 and two game controllers, with each controller costing the same amount. He has $120 in total to spend. To determine how much Kevin can spend on each controller, we can set up an inequality. Let x represent the cost of one game controller. We can express the problem as follows:

Cost of video game + Cost of 2 controllers ≤ Total budget

$45 + 2x ≤ $120

Now we solve for x:

1. Subtract $45 from both sides: 2x ≤ $120 - $45
2. Simplify: 2x ≤ $75
3. Divide both sides by 2: x ≤ $37.50

Therefore, Kevin can spend up to $37.50 on each controller.

Answer 2

The inequality is 45 + 2x < 120.

`x<(75)/(2)`

Solution:

Given a cost of video game = $45

Number of game controllers bought = 2

Each controller costs the same amount.

Total amount to spend = $120

Let x be taken the cost of game controller.

So, 45 + 2x < 120

Subtract 45 on both sides of the inequality.

⇒ 45 + 2x – 45 < 120 – 45

⇒ 45 – 45 + 2x < 120 – 45

⇒ 2x < 75

Divide by 2 on both sides of the inequality, we get

⇒
`x<(75)/(2)`

Hence, Kevin spend $
`(75)/(2)` for each game controller.