There are three families A, B and C. Family A has 2 men, 4 women and 3 children. Family B has 3 men, 3 women and 2 children. Family C has 2 men, 2 women and 5 children. A man earns 500 per day and spends 300 per day. A woman earns * 400 per day and spends * 250 per day. A child spends *40 per day. Find the money each family saves per day using matrices.
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solve with this method best of luck
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The matrix form as:-
⎣
⎢
⎢
⎡
2
2
4
3
1
2
1
3
6
⎦
⎥
⎥
⎤
Their expenses are
⎣
⎢
⎢
⎡
200
150
200
⎦
⎥
⎥
⎤
The daily expenses of each family is
⎣
⎢
⎢
⎡
2
2
4
3
1
2
1
3
6
⎦
⎥
⎥
⎤
⎣
⎢
⎢
⎡
200
150
200
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
400+450+200
400+150+600
800+300+1200
⎦
⎥
⎥
⎤
=
⎣
⎢
⎢
⎡
1050
1150
1300
⎦
⎥
⎥
⎤
Hence Family A spends Rs.1050, Family B spends Rs.1150 and Family C spends Rs.1300.
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