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Algebra Please help...

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What a steal of a Deal!

Hunter went to TV City to buy a new TV. When he got there, he found that the manager was offering a 25% discount on every TV in the store. The one Hunter wanted was last year's model so he got an additional 10% discount on his purchase. When he got to the cash, he found out he would save even more because the store offered a 5% discount for paying cash. The discounts were applied successivelky, and he paid $371.93 for the TV. What was the original price before any discounts were taken? What was the total percent discount Hunter got?

  • Algebra Please help... - ,

    original price = p

    store discount = .25, so price was then .75p

    obsolete discount = .1, so the price is now

    .75p*.90 = .675p

    cash discount is 5% so final price is

    .675p*.95 = .64125p

    total discount was 1.00 - .64 = 36%

    .64125p = 371.93
    p = $580.00

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