A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
In this problem, we must translate the sentences into mathematical expression. Please notice that systems of linear equations are resoluble if the number of formulas equals the number of variables. In other words, we must have three linear equations for three variables:
1) Divide a sum of RS 1110 between A, B, C:
(1) Var: 3, Eqs: 1
2) So that for every RS 8 give to A, B may get RS 5:
(2) Var: 3, Eqs: 2
3) And for every RS 7 given to B, C may get RS 4:
(3) Var: 3, Eqs: 3
Now we solve the resulting system, the solution set of the system is:
, ,
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.