posted by .

A video store sells a certain video for $32, which is 60 percent more than it costs the store to purchase this video. During an inventory sale, employees are invited to purchase remaining videos at 25 percent off the store's cost. If an employee purchases this video during the sale, the employee's purchase price would be what percent of the price the store originally charged for the video?

Here's the book answer: First your told that a store sells a certain video for $32, which is 60 percent more than it costs the store. So to figure out the store's cost, translate the English into math: 32=1.6x, where x is the cost to the store. x=32/1.6=20, so the store's cost is $20. During a sale it's offered to employees at 25 percent off the store's cost, or .75*$20=$15, so $15 is the final price to the employee. But wait! the question asks what percent of the original price the employee pays, so divide 15 by 32. You should get .46875, or 46.875 percent, which you can grid as either 46.8 or 46.9.

My question is: Where did they get 1.6x from and how did they get .75*$20 from? And I really don't understand the answer so help me.

1.6 is the decimal equivalent of 160%. The store charged customers 160% of its wholesale price. 1.6x is 160% of an unknown number (the store's wholesale price).

.75*$20 is 75% of the store's cost of $20. 100% - 25% = 75%

explain how they got the whole answer. Because what you just explained to me is'nt enough.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    haris has 20.92 to spend on videos-games rentals at a local video store. the store charges 3.95 per video-game rental plus 8.125% tax. what is the maximum number of video games that harris can rent?
  2. Math

    Define variables and write a system of equations for this situation. Solve using substitution. Suppose you want to join a video store. Big Video offers a special discount card that costs $9.99 for one year. With the discount card, …
  3. math

    a store charges $28 for a sweater.this price is 40% more than the amount it costs the store.during a sale, store employees can purchase it at 30% off the stores cost. how much will it cost an employee to buy the sweater?
  4. %

    The original price of a video game is $75. The store allows you to use either a 25-percent-off and then a 20-percent-off coupon, or a 45-percent-off coupon all at once. How much more can you save using simply the 45-percent-off coupon …
  5. psy

    Cathy owes six overdue movies to her local video store. Since each of Cathy’s overdue videos is a comedy, only comedies are currently overdue at Cathy’s local video store. Which one of the following premises, if added to the statements …
  6. Algebra 1

    jasper wants to join a video store, blockbuster offers $9.99 for one year. with the discount card, each video rental costs $2.49. a discount card frm video time costs $20.49 for 1 year. with the video time discount card, each vido …
  7. algebra

    Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. How many videos would one need to rent to justify purchasing a membership?
  8. algebra

    Write a rule in words and as an algebraic expression to model the relationship in each table. The local video store charges a monthly membership fee of $5 and $2.25 per video. 1 video is $7.25 2 videos are $9.50 3 videos are $11.75
  9. Math "Need Help Asap"!

    "Find each percent of markup?" 5.)Store's cos:$26 selling price:$39 6.)Store's cost:$125 selling price:$168.75 7.)Store's cost:$75 selling price:$90 "Find each selling price round to the nearest cent?
  10. Mat

    A store sold 550 video games during the month of December.if this made up 12.5% of its yearly video game sales,about how many video games did the store sell all year?

More Similar Questions