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4. A construction crew is building a new apartment building. For every 3 men working
there are 6 women working. ¼ of the women and ½ of the men are working on installing
drywall. Which of the following numbers could represent
the total number of workers
who are doing construction on this apartment building?
A. 36
B. 7
C. 9
D. 15


Is it A, B, C or D?



Answer :

sqdancefan

Answer:

  A.  36

Step-by-step explanation:

You want to know possible numbers of workers on a project if the ratio of women to men is 6 : 3 and 1/4 of the women and 1/2 of the men are working drywall installation.

Multiples

If there are 6 women and 3 men, then 6/4 = 1.5 women and 3/2 = 1.5 men are working drywall installation. For these numbers to be integers, there must be an even multiple of 6+3 = 9 workers on the project.

Of the answer choices, only 36, choice A, is an even multiple of 9.

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Additional comment

Of the 36 workers, 6 of the 24 women and 6 of the 12 men are working drywall installation.

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