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An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?

i know its absurdly simple but my brain feels like mush right now

  • math -

    Do it step wise as the reverse of the original purchase.

    So to get back to the discounted price (after the 10%) then multiply the £306 by 1/0.85. Then to get to the original price multiply this result by 1/0.9.

  • math -

    100%-15%= 85% 306/85%= 360
    100%-10%= 90% 360/90%= 400

    Hope this helps

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