document.write( "Question 1209555: Victoria goes to a store and buys an item that costs xx dollars. She has a coupon for 40% off, and then a 5% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Victoria paid at the register. \n" ); document.write( "
Algebra.Com's Answer #849412 by math_tutor2020(3816)\"\" \"About 
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\n" ); document.write( "I'll assume that xx is a typo and it should be x.\r
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\n" ); document.write( "\n" ); document.write( "x = cost of the item in dollars\r
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\n" ); document.write( "\n" ); document.write( "The coupon saves her 40%, so she pays the remaining 60%
\n" ); document.write( "60% of x = 0.60x = amount she pays before tax is applied.\r
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\n" ); document.write( "\n" ); document.write( "The 5% tax will bump the price up to 1.05*0.60x = 0.63x dollars.
\n" ); document.write( "The 1.05 can be thought of as 1+0.05 = 100% + 5% = 105%
\n" ); document.write( "Anything over 100% increases the price, which is why tax is associated with such a percentage.\r
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\n" ); document.write( "\n" ); document.write( "Alternatively you can think of it like this: 0.60x+0.05*0.60x = 0.60x+0.03x = 0.63x
\n" ); document.write( "The 0.60x portion is what she pays before tax, and 0.05*0.60x = 0.03x is the tax itself.\r
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\n" ); document.write( "\n" ); document.write( "Answer: 0.63x
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