Problema Solution

Divide $460 among A,B and C so that B has $50 more than A,and C as much as A and B together.

Answer provided by our tutors

let


a = the amount the A gets


b = the amount that B gets


c = the amount that C gets


Divide $460 among A,B and C:


a + b + c = 460


B has $50 more than A:


b = a + 150


C has as much as A and B together:


c = a + b


by solving the system of equations:


a + b + c = 460


b = a + 150


c = a + b


we find:


a = $40


b = $190


c = $230


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A will get $40, B will get $190 and C will get $230.