Mathematics

Question

A music player was marked down by 1/4 of the original price.
a. If the sales price is $128, what is the original price?
b. If the music player was marked up by 1/2 before it was placed on the sales floor, what was the price that the store paid for the player?
c. What is the difference between the discount price and the price that the store paid for the music player?

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1 Answer

  • Answer:

    Step-by-step explanation:

    marked down by 1/4 of the original price.

    let x represent original price

    original price - 1/4 of original price = sales price

    x - 1/4x = 128

    4/4x - 1/4x = 128

    3/4x = 128

    x = 128/(3/4)

    x = 128 * 4/3

    x = 512/3

    x = 170.666 rounds to 170.67 <== original price

    ==============================

    I hope I am understanding this one correctly...

    let x = price the store paid

    x + 1/2x = 170.67

    2/2x + 1/2x = 170.67

    3/2x = 170.67

    x = 170.67 / (3/2)

    x = 170.67 * 2/3

    x = 341.34/3

    x = 113.78 <=== what the store paid

    ===========================

    the difference between the discount price..I am assuming this is the $ 128 from part A.....and what the store paid....113.78...from part B..

    128 - 113.78 = $ 14.22 <==

    I am not completely sure about B and C......B confused me.....and if B is wrong, so is C.

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