# Difference between revisions of "2006 AMC 12B Problems/Problem 4"

m (2006 AMC 12B Problem 4 moved to 2006 AMC 12B Problems/Problem 4) |
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== Problem == | == Problem == | ||

+ | Mary is about to pay for five items at the grocery store. The prices of the items are <math>\</math> 7.99, <math>\</math> 4.99, <math>\</math> 2.99, <math>\</math> 1.99, and <math>\</math> 0.99. Mary will pay with a twenty-dollar bill. Which of the following is closest to the percentage of the <math>\</math>20.00 that she will receive in change? | ||

+ | |||

+ | <math> | ||

+ | \text {(A) } 5 \qquad \text {(B) } 10 \qquad \text {(C) } 15 \qquad \text {(D) } 20 \qquad \text {(E) } 25 | ||

+ | </math> | ||

== Solution == | == Solution == | ||

+ | The total price of the items is <math>(8-.01)+(5-.01)+(3-.01)+(2-.01)+(1-.01)=19-.05=18.05</math> | ||

+ | |||

+ | <math>20-18.05=1.95</math> | ||

+ | <math>\frac{1.95}{20}=.0975 \Rightarrow \text{(C)}</math> | ||

== See also == | == See also == | ||

* [[2006 AMC 12B Problems]] | * [[2006 AMC 12B Problems]] |

## Revision as of 09:28, 14 November 2007

## Problem

Mary is about to pay for five items at the grocery store. The prices of the items are 7.99, 4.99, 2.99, 1.99, and 0.99. Mary will pay with a twenty-dollar bill. Which of the following is closest to the percentage of the 20.00 that she will receive in change?

## Solution

The total price of the items is