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$420 is divided between A, B and C. B receives $20 less than A, and C receives half as much as A and B together. how much does each receive?

Also could you explain the answer?

Respuesta :

Answer:

A = $150

B = $130

C = $140

Step-by-step explanation:

Let the amount received by a be $x

b receives $20 less than a;

we have that;

b = x - 20

c receives half of Sum A and B

c = (x + x-20)/2

c = (2x-20)/2

c = x - 10

Add all and it gives 420

x - 10 + x -20 + x = 420

3x -30 = 420

3x = 420 + 30

3x = 450

x = 450/3

x =$150

a = 150

b = x - 20; 150 - 20 = 130

c = x-10

c = 150-10

c = $140

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