Question

Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of games that Roberto can buy.

Answer 1

Roberto can buy up to 7 video games with his $200 by setting up an inequality 25.50x ≤ 200 and solving for x. After dividing both sides by 25.50, he finds that x ≤ 7.8431, which means he can afford a maximum of 7 games.

Step-by-step explanation:

To determine the number of video games Roberto can buy with his $200, we can set up an inequality. Let's let x represent the number of video games he wants to buy. The cost of each video game is $25.50, so the total cost for x games would be $25.50x. Roberto cannot spend more than he has, so the inequality we are looking to solve is:

25.50x ≤ 200

To solve for x, we divide both sides of the inequality by 25.50:

x ≤ 200 / 25.50

x ≤ 7.8431

Since Roberto can't buy a fraction of a video game, we round down to the nearest whole number. Therefore, Roberto can buy up to 7 video games with his $200.

Answer 2

Step-by-step explanation: Each game is $25.50 which in math means it has an "x"

So if x=1 then 25.50x says that 1 video game is $25.50

Set up the equation:

200 = 25.50x (divide both sides by 25.50 to isolate the x)

200/25.50 = 7.84

x = 7.84

You can't have 0.84 of a video game, so Roberto can only buy 7 of them. The answer is correct good job!