Question

LOL WHAT IS THIS NONSENSE. HELP.

On Friday, Auriel had $45 in her wallet. That night, she went to the movies and spent $9.50 on a ticket, $3.25 on a soda, and $2.75 on a box of chocolate-covered raisins. On Saturday, she bought two used books, each for the same price. When Auriel got home from the bookstore, she had only $2 left in her wallet.

If Auriel did not make any other purchases, and sales tax rate on the books was 7.5%, what was the price of each book before tax?

Answer 1

Please excuse this rambling. She starts out with $45, she ends up with $2.00. She has spent $43 so her expenditures will add up to $43. So lets add up what we know she spent:
$9.50 + $3.25 +$2.75 = $15.50 Now that leaves up with $43.00 - $15.50 or $27.50 to account for. With this $27.50, we know she bought two used books, each costing the same. So now we revert to algebra. Let x = cost of book so that .075x is the tax on each book. She bought 2 so the following equation can be formed:
2x + 2(.075x) = 27.50
2x + .15x = $27.50
2.15x=$27.50
x=$12.79 that is the cost of book before taxes.

Answer 2

Thank you so much. :* I understood.

Answer 3

You're welcome and good luck.