A restaurant manager wants to purchase 200 sets of dishes On

A restaurant manager wants to purchase 200 sets of dishes. One design costs S20 per set, while another costs S45 per set. If she wants to use her entire budget of S6500, how many of each design should be ordered? Select the correct choice below and fill in any answer boxes in your choice. on she should buy of the S20 sets. She should buyof the $45 sets. Type whole numbers.) OB. There are infinitely many solutions. OC. There is no solution.

Solution

assume x set is purchased from one design which cost $20 per set.

assume y set is purchased from other design which cost $45 per set.

Total set as given =200

x + y = 200 --- (1)

Total money spend= 6500

20x + 45y = 6500 --- (2)

Multiplying equation 1 by 20 and subtracting eqn (1)- eqn (2)

20x + 20y = 4000

-20x - 45y =-6500

-25y = -2500

y = 100

x= 100

She has purchaged the 100 set of both design

Answer A : - 100 set of $ 20 and 100 sets of $45