On a construction map of a certain college campus, 1/3 of the area of

Question

On a construction map of a certain college campus, 1/3 of the area of the campus is marked by landscaping. Of the part of the campus that is not marked by landscaping, 1/8 of the area is marked for gym buildings. What fraction of the area of the campus is not marked for either landscaping or gym buildings?

A. 1/12
B. 1/4
C. 5/12
D. 7/12
E. 11/12

A. 1/12
B. 1/4
C. 5/12
D. 7/12
E. 11/12

Rabab36 · Answer

let total area be 90

so 1/3 is landscape 
i.e=30

remaining 1/8 for gym 
i.e 90-30=60
1/8(60)= 7.5

now fraction 37.5/90
 
gives 5/12

amollkhugshal · Answer

Let total area = x
Area marked by landscaping = 1/3 = x/3 area
Of the part of the campus that is not marked by landscaping = x-x/3 = 2x/3 
1/8 of the area is marked for gym buildings = 1/8 * 2x/3 = x/12 area

Total area marked by both = x/3 + x/12 = 5x/12
So area not marked = x- 5x/12 = 7x/12

Fraction of area not marked = 7x/12 / x = 7/12
Correct ans is D

SaquibHGMATWhiz · Answer

Solution:

Landscaping  =\frac{1}{3}  
 Remaining  =1-\frac{1}{3}=\frac{2}{3}  
 Gym  =\frac{1}{8}	imes \frac{2}{3}=\frac{1}{12}  
 Area marked  =\frac{1}{3}+\frac{1}{12}=\frac{5}{12}  
 Area not marked  =\frac{12-5}{12}=\frac{7}{12}

Hence the right answer is    Option D

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On a construction map of a certain college campus, 1/3 of the area of

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