Maths-
General
Easy

Question

A boy buys four video games from the store and a Frequent Gamer discount card for $10. Later that day, he goes back and buys two more video games. He also got a $2 discount using his new card. If he spent a total of $218 at the game store, how much did each video game cost assuming every video game cost the same amount?

hintHint:

  • Hint:
○ Form the equation according to given information..
○ Take variable values as x or any alphabet.
○ Solve the equation to get value of x.

The correct answer is: $35.


    • Step by step explanation:
    ○ Given:
    rightwards double arrowTotal video game brought at first = 4.
    rightwards double arrowcost of gamer discount card = $10.
    rightwards double arrowTotal video game brought later = 2.
    rightwards double arrowtotal discount = $2.
    rightwards double arrowtotal money spent = $218.
    ○ Step 1:
    ○ Calculate amount spent at first.
    ○ Let the cost of 1 video game is x.
    rightwards double arrow(cost of 4 video game + gamer discount card )
    rightwards double arrow(4x + 10 )
    ○ Step 2:
    ○ Calculate amount spent at first.
    rightwards double arrow(cost of 2 video game  - discount )
    rightwards double arrow(2x - 2 )
    ○ Step 3:
    ○ It is given that total money spent is $218.

    ∴ (4x + 10 ) + ( 2x - 2 ) = 218

    rightwards double arrow6x + 8 = 218

    rightwards double arrow6x = 218 - 8

    rightwards double arrow6x = 210

    rightwards double arrowx = 210 over 6

    rightwards double arrowx = 35

    • Final Answer:
    Hence, the price of one video game is $35.

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