Question

A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up and solve an inequality to calculate the maximum number of games you can purchase

Answer 1

Therefore the maximum number of video games that we can purchase

is 6.

Explanation:

i) Let us say the number of video game system we can buy that costs $185

is x and the number of video games of cost $14.95 is y.

ii) The total amount we can spend on the purchase of the video game

system is $280.

iii) Now with the amount of $280 mentioned in ii) we can see that the

number of game systems that can be bought is 1.

Therefore x = 1.

Therefore the equation we can write to equate the number of video

games and video game system is given by $185 + $14.95 × y ≤ 280

Therefore 14.95 × y ≤ 280 - 185 = 95

Therefore y ≤ 95 ÷ 14.95 = 6.355

Therefore the maximum number of video games that we can purchase

is 6.