Difference between revisions of "2005 AMC 8 Problems/Problem 11"
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==Solution== | ==Solution== | ||
− | The price | + | The price Jack rings up is <math>(90.00)(1.06)(0.80)</math>. The price Jill rings up is <math>(90.00)(0.80)(1.06)</math>. By the commutative property of multiplication, these quantities are the same, and the difference is <math>\boxed{\textbf{(C)}\ \textdollar 0}</math>. |
==See Also== | ==See Also== | ||
{{AMC8 box|year=2005|num-b=10|num-a=12}} | {{AMC8 box|year=2005|num-b=10|num-a=12}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 02:03, 9 October 2020
Problem
The sales tax rate in Bergville is 6%. During a sale at the Bergville Coat Closet, the price of a coat is discounted 20% from its $90.00 price. Two clerks, Jack and Jill, calculate the bill independently. Jack rings up $90.00 and adds 6% sales tax, then subtracts 20% from this total. Jill rings up $90.00, subtracts 20% of the price, then adds 6% of the discounted price for sales tax. What is Jack's total minus Jill's total?
Solution
The price Jack rings up is . The price Jill rings up is . By the commutative property of multiplication, these quantities are the same, and the difference is .
See Also
2005 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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