SOLUTION: A sum of money was to be shared among 3 persons A, B and C in the ratio 2:3:8 if C received $120 more than B find the sum of money shared

Question 1197168: A sum of money was to be shared among 3 persons A, B and C in the ratio 2:3:8 if C received $120 more than B find the sum of money shared

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

PERSON QUANTITY A 2x B 3x C 8x=3x+120 SUM ?

Note that the sum asked for is 13x.

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

Since we are given this triple proportion, we introduce 2x as an amount for A 3x as an amount for B 8x as an amount for C After that, we have this equation 8x - 3x = 120 dollars which gives us 5x = 120 x = 120/5 = 24. Thus, A obtained 2*24 = 48 dollars; B obtained 3*24 = 72 dollars and C obtained 8*24 = 192 dollars. The sum is 48 + 72 + 192 = 312 dollars. ANSWER

Solved.

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