Question

In sivakasi, each boy's quota of match sticks to
fill into boxes is not more than 200 per session.
If he reduces the no. of sticks per box by 25
he can fill 3 more boxes with the total no.
of sticks assigned to him.
which of the following
Is the possible no. of sticks assigned to the boy
a) 200
(c) 125
(6) 150
(d) 175​

Answer 1

Answer:

150

Step-by-step explanation:

case 1 :

no of boxes : x

no of sticks in each box = y

total sticks : x y

case 2 :

no of boxes : x + 3

no of sticks in each box = y - 25

total sticks : ( x + 3 ) ( y - 25 )

now....

since no of sticks are same in two cases,

( y - 25 ) ( x + 3 ) = x y

x y + 3y - 25x - 75 = x y

3y - 25x = 75

it's a linear eqn in x & y hence plot the graph or by inspection,

x & y are +ve integers, y > x

y = 70 ; x = 6 ; x y = 420 > 200

y = 50 ; x = 3 ; xy = 150 < 200

hence ...

the number of sticks assigned : 150