Question

In: Math

What is the starting student number in each room (A and B) given following conditions??

When 5 students are shifted from room A to room B, the resulting number of students in the two rooms becomes equal. However if the 5 students are shifted in opposite direction, the resulting students in room A becomes double of those in room B. What is the starting student number in each room?

Solutions

Expert Solution

Solution:

If x & y are starting student numbers in room A and room B respectively. Then from question:

   x - 5 = y + 5

⇒ x - y = 10 - Eq. I

Also from question:

x + 5 = 2 (y - 5)

⇒ x - 2y = -15 - Eq. II

Subtracting Eq. II from Eq. I:

y = 25

Substitute  y = 25 iEq. I:

x - 25 = 10

⇒ x = 10 + 25 = 35

Thus,

number of students in room A = 35, and

number of students in room B = 25.


From given conditions, number of students in room A = 35, and number of students in room B = 25.

Related Solutions

For the following exercises, find the number of subsets in each given set. {a, b, c, … , z}
For the following exercises, find the number of subsets in each given set.{a, b, c, … , z}
What is the oxidation number of carbon in each of the following substances? a) CO b)...
What is the oxidation number of carbon in each of the following substances? a) CO b) CO2 c) C2H6 d) C e) CO32- f) CH3OH
The number of students in the MPH program by county is given below. If a student...
The number of students in the MPH program by county is given below. If a student is selected at random from this dataset, find the probability that: county # of students percentage escambia 106 21.2 walton 151 30.2 santa rosa 150 30 okaloosa 93 18.6 total 500 100 MPH program (Show your work) The student is from Escambia county The student is from Santa Rosa county The student is from either Escambia or Santa Rosa county The student is not...
Solve each of the following ODEs. If initial conditions are given, give the unique solution. d)...
Solve each of the following ODEs. If initial conditions are given, give the unique solution. d) y''' − 5y'' + 2y' + 8y = 0, y(0) = 2, y'(0) = −1, y''(0) = −5 e) y''' + 9y'' + 27y' + 27y = 0, y(0) = 2, y'(0) = 0, y''(0) = 3 a) x^2y'' + xy' + 4y = 0, x > 0 b) x^2y'' − 6y = 0, x > 0, y(1) = y'(1) = 5 c) x^2y''...
Given the same number of moles of each of the following substances, which one would be...
Given the same number of moles of each of the following substances, which one would be most effective in melting ice on a sidewalk? a. KCl b. CaCl2 c. MgCl2 d. (NH4)3PO4 e. NaCl
2. Given variables A, B and C; each holding an 8-bit unsigned number. Write an AVR...
2. Given variables A, B and C; each holding an 8-bit unsigned number. Write an AVR assembly program to find the average of A to C, placing the result into variable F. -embedded system-
1a. Find the number of ways to rearrange each of the following words a. GUIDE b....
1a. Find the number of ways to rearrange each of the following words a. GUIDE b. SCHOOL c. SALESPERSONS 1b. A handful of 6 jellybeans is drawn from a jar that contains 5 different flavors: blueberry, popcorn, pineapple, apple, lemon. a. What outcome does × × ×| × | | × ×| represent? b. How many ways are there to select a handful of 6 jellybeans from the jar? 1c. How many integer solutions are there to the equation x...
If the average starting salary in your chosen job is $40,000, what is the maximum student...
If the average starting salary in your chosen job is $40,000, what is the maximum student loan debt you should borrow to keep your monthly payments manageable?
a) Is the following reaction spontaneous at standard reaction conditions? b) At what temperature (oC) does...
a) Is the following reaction spontaneous at standard reaction conditions? b) At what temperature (oC) does the reaction become spontaneous? CaCO3(s) --> CaO(s) + CO2(g)
. Under what conditions on a and b do the following production functions exhibit decreasing, increasing...
. Under what conditions on a and b do the following production functions exhibit decreasing, increasing or constant returns to scale? Mathematically justify and show your work. a. Q(L,K) = aL + bK b. Q(L,K) = (La + Ka ) 1/b
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT