SOLUTION: the organizer for a church picnic ordered coleslaw, potato salad and beans amounting to 50lbs. There was to be three times as much potato salad as coleslaw. the number of beans was

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the organizer for a church picnic ordered coleslaw, potato salad and beans amounting to 50lbs. There was to be three times as much potato salad as coleslaw. the number of beans was      Log On


   

Question 362273: the organizer for a church picnic ordered coleslaw, potato salad and beans amounting to 50lbs. There was to be three times as much potato salad as coleslaw. the number of beans was to be 6 less than the number of potato salad. find the number of each.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
c + p + b = 50,
p = 3c,
b = p - 6.
From the 2nd equation, c+=+p%2F3.
Thus, p%2F3+%2B+p+%2B+p+-+6+=+50,
7p%2F3+=+56,
p+=+24,
b = 18, and c = 24/3 = 8.
Therefore there are 8 pounds of coleslaw, 18 pounds of beans, and 24 pounds of potato.