1 math question, please help?

Question

room a has 7 people, room b has half of people in room c. room c has the number of people in a and b combined. howmany people are in a,b,c?

thankyou please explain how you got the answer.

Answer 1

7,7,14

Answer 2

Let the unknowns be a,b and c.

a=7 (room a has 7 people)

b= 1/2 c (room b has half of people in room)

c= 7+1/2 c (room c has the number of people in a and b combined)

Solve the third equation to figure out the 1st and 2nd.

c= 7+1/2c

-7=-c+1/2c

14=c

a=7

b=1/2(14)=7

c=14

Answer 3

A = 7

B = 1/2 (C)

C = A + B

C = 7 + 1/2 (C)

-7 = -C + 1/2 (C)

-7 = -0.5C

14 = C

B = 1/2 (C)

B = 1/2 (14)

B = 7

Answer 4

a HAS 7 PEOPLE

  a=7

but there are half the no. of people in c are in b

so , b=c/2

sum of all the people in a and b is equal to people in c

so 7+c/2 =c

simplyfying we get c=14      (a=7, b=7 ,c=14

so ,b=c/2=14/2=7

so a+b+c=7+7+14=28

Answer 5

Both rooms A and B have 7 people.  Room C has 14.

According to your question, then:

A=7

Room B= 7 (half of room C)

Room C= A (7) plus B (7) or 14

As long as there is no stipulation that says no two rooms can have the same number of people, this should be the correct answer.  

Answer 6

a=7

b = 1/2c

c = ( a + b) which also is (7 + 1/2c)

so since c = (7 + 1/2c)  we solve for c

subtract 1/2c from both sides you get

c - 1/2c = 7

c is also = to c /1

and  1/2c is also = to c/2

therefore

c/1 - c/2 = 7

get your common denom

2c/2  - c/2 =7

therefore

c/2 = 7

then multiply both sides by 2

we then get

c = 14

We know that b = 1/2c

therefore b = 1/2(14) = 7

room a has 7

room b has 7

and  room c has 14.