Difference between revisions of "2005 AMC 8 Problems/Problem 11"

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==Solution==
 
==Solution==
The price Jacks 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>.
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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?

$\textbf{(A)}\ \textdollar -1.06\qquad\textbf{(B)}\ \textdollar -0.53 \qquad\textbf{(C)}\ \textdollar 0\qquad\textbf{(D)}\ \textdollar 0.53\qquad\textbf{(E)}\ \textdollar 1.06$

Solution

The price Jack rings up is $(90.00)(1.06)(0.80)$. The price Jill rings up is $(90.00)(0.80)(1.06)$. By the commutative property of multiplication, these quantities are the same, and the difference is $\boxed{\textbf{(C)}\ \textdollar 0}$.

See Also

2005 AMC 8 (ProblemsAnswer KeyResources)
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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