Maths-
General
Easy

Question

Verizon Wireless offers an internet plan for $20 a month plus a $20 setup fee. Consolidated Communications offers an internet plan for $25 a month plus a $10 setup fee. After how many months will the plans be equal?

Hint:

  • 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: x = 2


    • Step by step explanation:
    ○ Given:
    rightwards double arrowVerizon wireless.
    Internal plan = $20 monthly
    Setup fee = $20
    rightwards double arrowConsolidated Communications.
    Internal plan = $25 monthly
    Setup fee = $10
    ○ Step 1:
    ○ Let, after x months both plans will be equal.
    so,
    Cost of Verizon wireless internet plan for x months will be

    rightwards double arrow(cost for x months + setup fee )

    rightwards double arrow(20x + 20 )
    Cost of Consolidated Communications plan for x months will be

    rightwards double arrow(cost for x months + setup fee )

    rightwards double arrow(25x + 10 )
    ○ Step 3:
    ○ Equate cost of both plan for x months.

    ∴ ( 20x + 20 ) = ( 25x + 10 )

    rightwards double arrow20 - 10 = 25x - 20x

    rightwards double arrow10 = 5x

    rightwards double arrowx = 10 over 5

    rightwards double arrowx = 2

    • Final Answer:
    Hence, after 2 months both internet plans will be same.

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