document.write( "Question 1209199: An electronics store offers separate discount coupons of 5%, 10%, and 15%.
\n" ); document.write( "Bill uses one of each coupon to buy a computer with sticker price $1000.
\n" ); document.write( "When Bill gets his receipt, a dark smudge covers up the sales tax percentage, but he can see the final total at the very bottom of the receipt is $773.99
\n" ); document.write( "(a) What is the sales tax percentage? Round to the nearest tenth of a percent.
\n" ); document.write( "(b) If there wasn't any sales tax, how much would Bill spend? Round to the nearest penny. \n" ); document.write( "

Algebra.Com's Answer #847815 by ikleyn(52814) $\"\"$ $\"About$

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\n" ); document.write( "An electronics store offers separate discount coupons of 5%, 10%, and 15%.
\n" ); document.write( "Bill uses one of each coupon to buy a computer with sticker price $1000.
\n" ); document.write( "When Bill gets his receipt, a dark smudge covers up the sales tax percentage,
\n" ); document.write( "but he can see the final total at the very bottom of the receipt is $773.99
\n" ); document.write( "(a) What is the sales tax percentage? Round to the nearest tenth of a percent.
\n" ); document.write( "(b) If there wasn't any sales tax, how much would Bill spend? Round to the nearest penny.
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document.write( "If I understand correctly, Bill uses 3 coupons of 5%, 10%, and 15%.\r\n" );
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document.write( "If so, then his buying price before the tax is\r\n" );
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document.write( "    (1-0.05)*(1-0.1)*(1-0.15)*1000 = 0.95*0.9*0.85*1000 = 726.75 dollars (the precise value).\r\n" );
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document.write( "Hence, the tax is  773.99 - 726.75 = 47.24 dollars.\r\n" );
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document.write( "It means that the tax rate is   = 0.065002, or 6.5002%.\r\n" );
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document.write( "Round it as requested to get the answer to (a) as 6.5%.\r\n" );
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document.write( "The answer to (b) is  $726.75, which we got above.\r\n" );
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