Unexpected Profits: Investigating Extra Tea in 200g Packets

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In summary, the tea company intends to sell 200g packets of tea at a price that would result in a 30% profit, but due to incorrect machine settings, each packet ends up with an additional x grams of tea. This results in only a 25% profit. To find the amount of extra tea in each packet, the first equation (1.3(200c)) is divided by the second equation (1.25(200+x)c), resulting in a value of 1 for the ratio. Solving for x yields the amount of extra tea added to each packet.
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ajoyawesome
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A tea company intends to pack tea into 200g packets and sell them at such a price to make a 30% profit. The machines are set incorrectly and put in too much tea. Only 25% profit is made. How much extra tea is put in each packet?
 
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  • #2
let p = selling price of a single packet
let c = cost for one gram of tea paid by the company

30% profit on a packet implies $p = 1.3(200c)$

let $x$ be the additional tea per packet in grams

25% profit on a packet implies $p = 1.25[(200+x)c]$

dividing the first equation by the second ...

$1 = \dfrac{1.3(200)}{1.25(200+x)}$

solve for $x$
 

FAQ: Unexpected Profits: Investigating Extra Tea in 200g Packets

What is the purpose of investigating extra tea in 200g packets?

The purpose of this investigation is to determine the cause of unexpected profits in 200g packets of tea. This could be due to a measurement error, a packaging mistake, or other factors that may affect the quantity of tea in each packet.

How will the investigation be conducted?

The investigation will involve collecting data from multiple sources, including production records, packaging records, and customer feedback. This data will be analyzed to identify any patterns or discrepancies that may explain the unexpected profits.

What are the potential outcomes of this investigation?

The investigation may reveal that the extra tea in 200g packets was a result of a packaging error, leading to increased profits. Alternatively, it may uncover a measurement error that resulted in inaccurate quantities of tea being packaged. It is also possible that there is no explanation for the unexpected profits, in which case further investigation may be needed.

How will the results of the investigation be communicated?

The results of the investigation will be communicated through a comprehensive report, which will outline the findings and any potential recommendations for addressing the unexpected profits. This report will be shared with relevant stakeholders, such as management and production teams.

What are the potential implications of this investigation?

The implications of this investigation could include changes to production processes, packaging procedures, or quality control measures. It may also have financial implications, as the unexpected profits may need to be accounted for or refunded. Additionally, the investigation may uncover any potential risks or weaknesses in the current operations that need to be addressed.

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