Maths-
General
Easy

Question

The original price of Doritos is the same at both Wal-Mart and County Market. Jon found out that Wal-Mart had Doritos on sale at $0.50 off per bag and bought four bags. Later that day, he found out that County Market had Doritos on sale at $1 off per bag and bought six bags. If he paid the same amount at both stores, what was the original price of Doritos?

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: $2


    • Step by step explanation:
    ○ Given:
    rightwards double arrowWal - mart and country market charge same for 1 bag of Doritos each.
    rightwards double arrowWal - mart gives $0.50 per bag and Jon brought 4 bags.
    rightwards double arrowcountry market gives $1.00 per bag and Jon brought 6 bags.
    rightwards double arrowJon paid same amount at both store.
    ○ Step 1:
    ○ Let the original price of 1 bag of Doritos be x.
    ∴ amount Jon pay at Wal - mart for 4 bags will be,
    rightwards double arrow(original price - discount ) cross times 4

    rightwards double arrow(x - 0.50 ) cross times 4

    rightwards double arrow(4x - 2 )
    amount Jon pay at Country market for 6 bags will be,
    rightwards double arrow(original price - discount ) cross times 4

    rightwards double arrow(x - 1.00 )  6

    rightwards double arrow(6x - 6 )
    ○ Step 2:
    ○ As he pays same amount at both store.

    ∴ (4x - 2 ) = ( 6x - 6 )

    rightwards double arrow6 - 2 = 6x - 4x

    rightwards double arrow4 = 2x

    rightwards double arrowx = 4 over 2

    rightwards double arrowx = 2

    • Final Answer:
    Hence, the original price of 1 bag of Doritos is $2.

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