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e-lub [12.9K]
3 years ago
12

In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who tak

e History. There are 10 that take Geometry and French, 7 that take History and French and 15 that take Geometry and History. There are 2 students who take all 3 and 5 that take none of these subjects.
Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

58 students

Step-by-step explanation:

Given

Total = 85

French = 27

Geometry = 51

History = 38

None = 5

All = 2

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

x + 7 -2+10-2+2=27

x + 15=27

Collect like terms

x =- 15+27

x =12

For Geometry only (y), we have:

y+10-2+15-2+2=51

y+23=51

Collect like terms

y=-23+51

y=28

For History only (z), we have:

z +15-2+7-2+2=38

z +20=38

Collect like terms

z =-20+38

z =18

Students with one subject is then calculated as:

1\ subject = x+y+z

1\ subject = 12 + 28 + 18

1\ subject = 58

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