# Difference between revisions of "1986 AJHSME Problems/Problem 16"

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What we want to find is the number of hamburgers sold in the winter. Since we don't know what it is, let's call it <math>x</math>. From the graph, we know that in Spring, 4.5 million hamburgers were sold, in the Summer was 5 million and in the Fall was 4 million. We know that the number of hamburgers sold in Fall is exactly <math>\frac{1}{4}</math> of the total number of hamburgers sold, so we can say that... | What we want to find is the number of hamburgers sold in the winter. Since we don't know what it is, let's call it <math>x</math>. From the graph, we know that in Spring, 4.5 million hamburgers were sold, in the Summer was 5 million and in the Fall was 4 million. We know that the number of hamburgers sold in Fall is exactly <math>\frac{1}{4}</math> of the total number of hamburgers sold, so we can say that... | ||

− | <math>4 \times Fall = Spring + Winter + Fall + Summer</math> | + | <math>4 \times \text{Fall} = \text{Spring} + \text{Winter} + \text{Fall} + \text{Summer}</math> |

<math>4 \times 4 = 4.5 + 4 + x + 5</math> | <math>4 \times 4 = 4.5 + 4 + x + 5</math> | ||

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<math>2.5 = x</math> | <math>2.5 = x</math> | ||

− | The answer is 2.5, or A | + | The answer is 2.5, or <math>\boxed{\text{A}}</math> |

==See Also== | ==See Also== | ||

[[1986 AJHSME Problems]] | [[1986 AJHSME Problems]] |

## Revision as of 18:47, 24 January 2009

## Problem

A bar graph shows the number of hamburgers sold by a fast food chain each season. However, the bar indicating the number sold during the winter is covered by a smudge. If exactly of the chain's hamburgers are sold in the fall, how many million hamburgers are sold in the winter?

## Solution

What we want to find is the number of hamburgers sold in the winter. Since we don't know what it is, let's call it . From the graph, we know that in Spring, 4.5 million hamburgers were sold, in the Summer was 5 million and in the Fall was 4 million. We know that the number of hamburgers sold in Fall is exactly of the total number of hamburgers sold, so we can say that...

The answer is 2.5, or