# “D” dollars is split 3 ways

• “D” dollars is split 3 ways

Scott gets half of what Mary gets

Alice get three fourths of what Scott gets

• How much does Scott get?

### Comments for “D” dollars is split 3 ways

 Sep 21, 2012 Dividing “D” dollars by: Staff Answer: Part I You forgot to list how many dollars was to be split three ways in the problem statement.. Because of this omission, I have used the variable “D” to represent the number of dollars involved. To find the answer in actual dollars, substitute the value of the money which is to be split for the variable “D” in the final answer. Definitions:          Scott = the number of dollars Scott receives          Mary = the number of dollars Mary receives          Alice = the number of dollars Alice receives Solution:          Scott gets half of what Mary gets                  Scott = ½ * Mary              Solve for the variable “Mary”              Multiply each side of the equation by 2                  2 * Scott = 2 * ½ * Mary                  2 * Scott = (2 / 2) * Mary                  2 * Scott = (1) * Mary                  2 * Scott = Mary                  Mary = 2*Scott          Alice gets three fourths of what Scott gets                  Alice = ¾ * Scott          The total number of dollars is the sum of the number of dollars each person receives.                  Scott + Mary + Alice = D --------------------------------------------------------

 Sep 21, 2012 Dividing “D” dollars by: Staff -------------------------------------------------------- Part II              Substitute 2*Scott for the variable Mary                  Scott + 2*Scott + Alice = D              Substitute ¾ * Scott for the variable Alice                  Scott + 2*Scott + ¾ * Scott = D              Combine like terms                  Scott + 2*Scott + ¾ * Scott = D                  3.75 * Scott = D              Divide each side of the equation by 3.75                  3.75 * Scott / 3.75 = D / 3.75                  Scott * (3.75 / 3.75) = D / 3.75                  Scott * (1) = D / 3.75                  Scott = D / 3.75                  Scott = D / (3 ¾)                  Scott = D / (15 / 4)                  Scott = (4/15) * D              Solve for Mary                  Mary = 2 * Scott                  Mary = 2 * (4 / 15) * D --------------------------------------------------------

 Sep 21, 2012 Dividing “D” dollars by: Staff -------------------------------------------------------- Part III                  Mary = (8/15) * D              Solve for Alice                  Alice = ¾ * Scott                  Alice = ¾ * (4 / 15) * D                  Alice = (4 / 4) * (3 / 15) * D                  Alice = (1) * (3 / 15) * D                  Alice = (3/15) * D                  Alice = (1/5) * D Final Answer:              How much does Scott get?                  Scott = (4 / 15) * D ---------------------------------- Check the answer:              Scott + Mary + Alice = D              (4 / 15) * D + (8/15) * D + (3 / 15) * D = D              [(4 + 8 + 3) / 15] * D = D              (15 / 15) * D = D              1 * D = D              D = D, OK → Scott = (4 / 15)*D is a valid solution Thanks for writing. Staff www.solving-math-problems.com

 Apr 28, 2020 Dividing Money NEW by: Dammian Serrano 11.91 dollars divided into 3