Cost of Canned Hams: Deciphering an Old Invoice for 144 Cans at $34.7 Each

  • Context: High School 
  • Thread starter Thread starter Gokul43201
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Discussion Overview

The discussion revolves around deciphering an old invoice for 144 canned hams priced at $34.70 each, focusing on the cost per can and the mathematical reasoning behind it. The scope includes mathematical reasoning and problem-solving related to the invoice's details.

Discussion Character

  • Mathematical reasoning
  • Exploratory

Main Points Raised

  • One participant notes that the total cost must be divisible by 48, leading to the conclusion that the last digit of the total cost is 2.
  • Another participant states that the total cost must also be divisible by 9, inferring that the first digit of the total cost is 2.
  • Based on the above reasoning, one participant claims that the cost of each can is $1.63.
  • Another participant expresses that the problem seems straightforward, suggesting it is an easy question.
  • Subsequent posts introduce unrelated topics, questioning the use of fingers when dialing emergency numbers, which diverges from the original mathematical discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the cost of each can, as the discussion includes both mathematical reasoning and unrelated comments. The mathematical claims are not universally accepted or challenged, leaving the discussion somewhat unresolved.

Contextual Notes

There are limitations in the assumptions made regarding the divisibility rules and the interpretation of the invoice, which may affect the conclusions drawn about the cost per can.

Gokul43201
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An old, an somewhat illegible invoice shows that 144 canned hams were purchased for $ x34.7y.

How much does each can cost ?
 
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Assuming the cans cost an inetger number of cents:

the total cost must be divisble by 48which means the last digit is a 2 (as in order to be dividsble by 8 the last 3 digits must be divisible by 8)

the total cost must alos be divisble by 9 (which means that the sum of it's digits must be divisble by 9), which means the first digit is 2

therefore the cost o each can is $1.63
 
jcsd with the ham !

Too easy, that one...
 
As this is a quickie thread:

Why do some people dial 911 with their third finger and some with their forefinger?
 
Is there some reason you avoided the more common "middle finger" usage ?
 
Ursole said:
As this is a quickie thread:

Why do some people dial 911 with their third finger and some with their forefinger?

Caller says, "Send an ambulance, I cut off my finger!"

Njorl
 

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