Answer:
The cost of the system is $163 and The cost of the games is $489
Step-by-step explanation:
∵ A video game system and several games are sold for $652
∵ The cost of the games is 3 times as much as the cost of the system
→ Assume that the cost of the system is $x
∵ The cost of the system = x
∴ The cost of the games = 3 × x = 3x
∵ The total cost of the system and the games = 652
→ Equate the sum of the cost of the system and the cost of the games
by 652
∴ x + 3x = 652
→ Add the like terms in the left side
∴ 4x = 652
→ Divide both sides by 4 to find x
∵ [tex]\frac{4x}{4}=\frac{652}{4}[/tex]
∴ x = 163
∵ The cost of the system = x
∴ The cost of the system is $163
∵ The cost of the games = 3x
∴ The cost of the games = 3(163) = 489
∴ The cost of the games is $489
