# SOLUTION: a resterant manager want to purchase 200sets of dishes. One design cost \$25 per set,while another cost \$45 dollars per set. If she want to use her entire budget of \$7800, how many

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 635254: a resterant manager want to purchase 200sets of dishes. One design cost \$25 per set,while another cost \$45 dollars per set. If she want to use her entire budget of \$7800, how many of each design should be ordered?Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website!a restaurant manager wants to purchase 200 sets of dishes. One design costs \$25 per set,while another costs \$45 dollars per set. If she wants to use her entire budget of \$7800, how many of each design should be ordered? ------------------ t + f = 200 sets 25t+45f = 7800 dollars ----------------------------------- Modify the 1st equation: 25t + 25f = 25*200 25t + 45f = 7800 ----- Subtract and solve for "f": 20f = 2800 f = 140 (# of \$45 dollars sets to purchase) ----- Solve for "t": t + f = 200 t + 140 = 200 t = 60 (# of \$25 sets to purchase) ============= Cheers, Stan H.