A restaurant manager wants to purchase 200 sets of dishes. One design costs $10 per set, while another costs $35 per set. If she wants to use her entire budget of $4250 , how many of each design should be ordered

X = 10 per set dishes, and y = 35 per set dishes

x + y = 200 ... x = 200 - y

10x + 35y = 4250

10 (200 - y) + 35y = 4250

2000 - 10y + 35y = 4250

-10y + 35y = 4250 - 2000

25y = 2250

y = 2250/25

y = 90 < = = = he got 90 of the $ 35 dishes

x + y = 200

x + 90 = 200

x = 200 - 90

x = 110 < = = = he got 110 of the $ 10 dishes