A restaurant manager wants to purchase 200

sets of dishes. One design costs ​$15 per​ set, while another costs ​$45 per set. If she wants to use her entire budget of ​$5700​, how many of each design should be​ ordered?

____ for $15 set
____ for $45 set

1 answer

number of cheaper sets ---x
number of other sets ----- 200-x

15x + 45(200-x) = 5700

solve for x