In the county of Veenapaniville, there are a total of 50

Question

In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?

A. 2
B. 3
C. 4
D. 5
E. 6

For full solution, see this blog.

A. 2
B. 3
C. 4
D. 5
E. 6

For full solution, see  this blog .

mohitvig17 · Answer

Answer is A

District A has 18 high schools total. District B has 17 high schools total (2 Private Independent School). So, total is 35 Schools

Therefore, District C Has 15 Schools and District C has an equal number of each of the three kinds of schools So, 5 Schools of each kind.

Hence, 2 Private Independent School in District B and 5 Private Independent School in District B = 7 Private Independent School

Total Private Independent School is 9.

Private Independent School is District A is 9-7 = 2

qweert · Answer

Total Private Schools = 9

Dist A: High Schools = 18 ==> Private Schools = ?
Dist B: High Schools = 17 ==> Private Schools = 2
Dist C: High Schools = 15 ==> Private Schools = 5

Therefore, 9 - 2 - 5 ==> 2

A is the Answer. Fairly easy question.

mohan514 · Answer

can double matrix be employed here to solve the problem
though i have seen it save time on problems i a not sure where exactly doed it work

please suggest me if its possible

KarishmaB · Answer

You can certainly use double matrix in this question though I doubt its time saving ability in this question.
Make something like this:

......................A...........B...........C.........Total
Public
Parochial
Private
............................................................50

Now put the numbers in.

That said, the question is quite straight forward. All you need to do is focus on what you need. You need to find the number of private schools in A. Total no. of private schools is 9 and in B, you have 2 of them. So there are 7 private schools distributed between A and C. All you need to find is the number of private schools in C to get the number of private schools in A. What is given to you about C? C has an equal number of each of the three kinds of schools. Total number of schools in C = 50 - (18 + 17) = 15. So no. of private schools in C = 15/3 = 5
Therefore, A must have 7 - 5 = 2 private schools.

TGC · Answer

Solution Attached !!!

Asifpirlo · Answer

A( 18) B(15+2) C (15= 5+5+5)

9-7 = 2 independent high school in A

Tan2017 · Answer

While the double matrix method does provide a more structured answer to ensure you don't miss out on important information. With practice you will realize you don't need all that data if you focus on what the stem is specifically asking for.

In this Q, we need to find the "how many  private independent schools  are there in District A". So isolate all the data related to that type of school.

We get the following statements on doing that:-

1) There are 9 private independent schools
2) District B has 17 high schools total, and  only two of those  are  private independent schools 
3) District C has an equal number of each of the three kinds of schools i.e of the total of 15 schools in District C,  5 are private independent schools

Thus the no of private independent schools in District A= Total no of private independent schools- private independent schools in B and C
 = 9- 2-5 = 2

Hope that helps!

MathRevolution · Answer

Total: 50

Let public(a); parochial(b) and private(c)

District A:  a_A + b_A + c_A = 18

District B:  a_B + b_B + c_B = 17

District C:  a_C + b_C + c_C = 15

=> If District C has an equal number of each of the three kinds of schools  a_C = b_C = c_C

Therefore,  a_C = b_C = c_C = 5

District B has 17 high schools total, and only two of those are private independent schools:  c_B = 2

Total c:  c_A + c_B + c_C = 9

=>  c_A = 9 - 2 - 5 = 2

Answer A

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In the county of Veenapaniville, there are a total of 50

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In the county of Veenapaniville, there are a total of 50

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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