Two elementary algebra problems

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    Algebra Elementary
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Discussion Overview

The discussion revolves around solving two elementary algebra problems involving volume and height calculations. The first problem asks how many classrooms are needed to hold 1,000,000 inflated balloons, while the second problem estimates the height of a stack of 1 million \$1 bills. The scope includes mathematical reasoning and problem-solving techniques.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • Post 1 presents two problems and requests solutions along with explanations.
  • Post 2 indicates a move to the appropriate forum and encourages the user to attempt the problems using previously discussed methods.
  • Post 3 expresses confusion about the method and requests a demonstration of the solution process.
  • Post 4 provides calculations for both problems, detailing the volume of a classroom and the height of the stack of bills, with rounded answers of approximately 49 classrooms and 119 yards, respectively.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the method of solving the problems, as there is confusion expressed and a request for clarification. The calculations provided in Post 4 are not challenged, but the overall understanding of the method remains unclear for some participants.

Contextual Notes

There is an assumption that the method used in previous discussions is applicable, but this has not been explicitly confirmed. The calculations depend on the assumptions made about the dimensions of classrooms and the characteristics of \$1 bills.

Who May Find This Useful

Individuals interested in basic algebra, volume calculations, and height estimations may find this discussion relevant.

jangoom
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#1. How many classrooms would be necessary to hold 1,000,000 inflated balloons? (Assume one balloon is about 1 ft3 and a typical classroom is about 30 ft × 45 ft × 15 ft. Round your answer to the nearest number of classrooms.)

#2. Approximately how high would a stack of 1 million \$1 bills be? (Assume there are 233 new \$1 bills per inch. Round your answer to the nearest yard.

Its been years! I need an answer and how you got there please.. much appreciated.
 
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I've re-titled this thread and moved it into the appropriate forum. Also, I've deleted another thread of yours as it duplicates a question found here. In future, please do not post duplicates, post in the appropriate forum and give your threads a descriptive title. Thanks! :)

Using the method we have used in your other thread, can you now attempt these questions?
 
Well I'm still lost. Is it the same method? Can you show me again how you do it.. I need a learn it...
 
jangoom said:
1. How many classrooms would be necessary to hold 1,000,000 inflated balloons?
Assume one balloon is about 1 ft³ and a typical classroom is about 30 ft x 45 ft x 15 ft.
Round your answer to the nearest number of classrooms.
A classroom holds: 30 \times 45\times 15 \:=\:20,250 \text{ ft}^3

To hold a million balloons requires: \frac{1,000,000}{20.250} \:=\:49.3827...\;\approx\; 49\text{ classrooms.}


#2. Approximately how high would a stack of 1 million \$1 bills be?
Assume there are 233 new \$1 bills per inch. Round your answer to the nearest yard.
\frac{1,000,000}{233} \:=\:4291.8454... \text{ inches}

\text{Divide by 36; }\;119.2179... \; \approx\; 119\text{ yards}



 

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