A, B and C share $112. B receives $12 less than A anil C gets twice as much as B. How much does C get?

A, B and C share $112. B receives $12 less than A anil C gets twice as much as B. How much does C get?

Explanation

We're given:

  1. A + B + C = 112
  2. B = A - 12
  3. C = 2B

We can substitute B in the first equation using the second equation:

A + (A - 12) + C = 112 2A + C - 12 = 112 2A + C = 124

Now, we can substitute C using the third equation:

2A + 2B = 124

We know B = A - 12,

so: 2A + 2(A - 12) = 124 2A + 2A - 24 = 124 4A = 148 A = 37

Now we can find B and C: B = A - 12 = 37 - 12 = 25 C = 2B = 2 * 25 = 50

Therefore, C gets $50.