A restaurant manager wants to purchase 200 sets of dishes. One design costs $10 per set, while another costs $35 per set. If

Question

AlexFokin [52]

3 years ago

9

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

Mathematics

1 answer:

pogonyaev · Answer 1 · 2022-04-21T15:43:51+03:00

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

A restaurant manager wants to purchase 200 sets of dishes. One design costs ​$10 per​ set, while another costs ​$35 per set. If

A restaurant manager wants to purchase 200 sets of dishes. One design costs $10 per set, while another costs $35 per set. If