SOLUTION: Distribute $3,750 among John, Maria, and Betsy so that Maria receives twice as much as John and Betsy receives three times as much as John.

Algebra ->  Equations -> SOLUTION: Distribute $3,750 among John, Maria, and Betsy so that Maria receives twice as much as John and Betsy receives three times as much as John.      Log On


   

Question 1180027: Distribute $3,750 among John, Maria, and Betsy so that Maria receives twice as much as John and Betsy receives three times as much as John.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The given information compares the amounts that both Maria and Betsy receive to the amount John receives. So make the amount John receives your variable.

x = amount John receives
2x = amount Maria receives (twice as much as John)
3x = amount Betsy receives (three times as much as John)

The total was $3750:

x%2B2x%2B3x=3750

Solve using basic algebra....

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.


            I came to correct the numbers in the solution by @greenestamps 


The given information compares the amounts that both Maria and Betsy receive to the amount John receives.  
So make the amount John receives your variable.


x = amount John receives
2x = amount Maria receives (twice as much as John)
3x = amount Betsy receives (three times as much as John)


The total was $3750:

    x + 2x + 3x = 3750

        6x      = 3750

         x      = 3750/6 = 625.


ANSWER.  John receives  $625;  Maria receives $1250;  Betsy receives $1875.


CHECK.  $625 + $1250 + $1875 = $3750,  in total.   ! Correct !