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SSSSS [86.1K]
2 years ago
10

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. Fin

d the cost of the system and the cost of the games.
Cost of the video game system: $

Mathematics
1 answer:
vesna_86 [32]2 years ago
4 0

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

∵ \frac{4x}{4}=\frac{652}{4}

∴ 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

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