an amount of 600 crores is spent by the government in 3 schemes scheme A is for saving girl - Maths - Matrices

Question

an amount of 600 crores is spent by the government in 3 schemes
scheme A is for saving girl child from the cruel parents who donot
want girl childand get abortion before her birth scheme B is fror
saving of newly wed girls from death due to dowry scheme c is
planning for good healt for senior citizens now twice the amount
spent on scheme B together with amount spent on A is rs 700 crores
and three time the amount spent on scheme A together with amount
spnt on Scheme B and Scheme C is rs1200 crores find the amount
spent on each scheme using matrices

Amit kumar · Accepted Answer

Let amount spent on scheme A be a , on B be b and on C be c
Thus equations formed are

a+b+c =600 ---(1)a +2b =700 ---(2)3a + b+c =1200 ---(3)Subtracting
equation (1) from equation (3) we get2a =600⇒a=300from
equation (1)a+b+c = 600⇒300+b+c = 600⇒b+c = 300
---(4)Again from equation (2) 300 + 2b = 700⇒2b =
400⇒b=200From equation (4)200 +c = 300⇒c= 300-200
= 100Thusa=300 , b=200 , c=100