Q.

10 students of class X took part in a mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz by graphical method.


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

2,7

b

6,9

c

3,12

d

None of these 

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given that 10 students took part in a mathematics quiz.
Let number of boys be x, number of girls be y.
Given that total number of student is 10 so that x+y=10.
Subtract y both side we get,
x=10–y
Putting y=0,5,10 we get,
x=100=10
x=105=5
x=1010=0
Therefore, the required points are (0,10),(5,5),(10,0).
Given that, if the number of girls is 4 more than the number of boys,
So that
y=x+4
Putting x=-4,0,4, and we get,
y=-4+4=0
y=0+4=4
y=4+4=8
Therefore, the required points are (-4,0),(0,4),(4,8).
Plotting the points to form the line,
Question ImageSince the point of intersection in the above graph is (3,7),thus, the number of boys are 3 and the number of girls are 7.
Therefore, option (4) is correct.
 
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon