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9 January, 08:16

A radio is on sale for $50. If this price represents a 10% discount from the original price, what is the original price to the nearest nickel?

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  1. 9 January, 10:59
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    Ok, so the discount is given in a percentage, in this case 10%. The sale price is going to reflect 10% of the original price minus the discount, so ...

    Sale $ = original$ - original $ x. 10

    If we use some algebra, we can reorganize the equation to solve for the original price ...

    Sale $ = original$ - original $ x. 10

    Sale $ = original$ (1 -.10)

    Sale $ = original$ x. 90

    original$ = sale$/.90

    So now we can plug in our values

    original price = 50/.90

    original price = 55.55555 = $55.55 to the nearest nickel
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