How many houses are currently under construction in Daisy Hill Subdivision?

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SUMMARY

The discussion centers on the analysis of a pie chart representing the construction status of homes in the Daisy Hill Subdivision. The chart indicates that 26% of homes are completed, 42% are currently under construction, and 32% are approved but not yet started. With a total of 50 homes planned for the subdivision, it is concluded that approximately 37 homes have not yet been completed, as 74% of the total represents the unfinished homes. Participants also noted that the phrasing of the question could lead to confusion regarding the interpretation of "currently" and "total."

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Homework Statement


Title of pie chart: New Construction in Daisy Hill Subdivision
Given a pie chart with sections:
Currently Completed: 26%
Currently Under Construction: 42%
Approved, but Not Yet Started: 32%

Question:
When construction is completed in Daisy Hill Subdivision there'll be a total of 50 homes.
Approximately, how many houses have not yet been completed?

The Attempt at a Solution


Originally, I thought that because construction completed in the subdivision meant completely done with labor.
Then, I thought about setting
50 homes -- 26%
x -- 42%
But, apparently that's not the way.

Then, I thought 50 is 100% of construction completed.

Then that 26% * x = 50, and I tried to solve for x to find total amount of houses.
x=192.30.
From 192.30 I tried to get the 42% = 80.76, but that didn't work.

I think that the question is poorly phrased. Anyone agree?

Apparently, the solution is :
74%50 = 37
 
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knowLittle said:

Homework Statement


Title of pie chart: New Construction in Daisy Hill Subdivision
Given a pie chart with sections:
Currently Completed: 26%
Currently Under Construction: 42%
Approved, but Not Yet Started: 32%

Question:
When construction is completed in Daisy Hill Subdivision there'll be a total of 50 homes.
Approximately, how many houses have not yet been completed?

Let's analyze what the previous sentence says: 'When construction is completed ...' suggests that there are still houses to be built or houses which presently are at some intermediate stage of construction, but not necessarily complete. '... there'll be a total of 50 homes' means that the total number of homes in the subdivision will be 50. That does not mean there are currently 50 complete homes in the subdivision, but there will be 50 homes in total when all construction on the subdivision is complete.

'Currently completed' means at this moment, not at some undetermined future time.

I think that the question is poorly phrased. Anyone agree?

Not unless you have trouble with the definition of the words 'currently' and 'total'.

Pie charts are supposed to show the breakdown of a whole quantity into various sub-groups of interest, to illustrate graphically the size of the sub-groups in relation to each other and the whole group. It would be illogical to show the whole group (50 homes) as anything less than 100%, or the entire pie chart.
 
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Thank you, I understand now.
 

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