Question

Glenn bought a game system and 3 video games for $375. Jim bought a game system and 4 video

games at the same store for $410.
-Each game system costs the same.
-Each video game costs the same.
What is the cost, in dollars, of one game system?
Please help!!

Answer 1

Cost of each video game = $35

Cost of each video game = $270

Explanation:

Given:

Cost of 1 game system and 3 video game = $375

Cost of 1 game system and 4 video game = $410

Find:

Cost of each game system and each video game

Computation:

Assume;

Cost of each game system = g

Cost of each video game = v

So,

g + 3v = 375 ........ EQ1

g + 4v = 410 ......... EQ2

EQ 2 - EQ 1

4v - 3v = 35

v = 35

Cost of each video game = $35

g + 3v = 375

g + 3(35) = 375

g = 375 - 105

g = 270

Cost of each video game = $270