Each chef at "sushi emperor" prepares 15 regular rolls and 20 vegetarian rolls daily. on tuesday, each customer ate 2 regular rolls & 3 vegetarian rolls. by the end of the day, 4 regular rolls & 1 vegetarian roll remained uneating. how many chefs were on tuesday? and how many customers were they?

Question

Mathematics

Caleb Garrison

19 August, 08:42

Each chef at "sushi emperor" prepares 15 regular rolls and 20 vegetarian rolls daily. on tuesday, each customer ate 2 regular rolls & 3 vegetarian rolls. by the end of the day, 4 regular rolls & 1 vegetarian roll remained uneating. how many chefs were on tuesday? and how many customers were they?

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Answers (1)

Know the Answer?

Megan Wilkins · Answer 1

Let x be the number of chefs at Sushi Emperor and y be the number of customers on Tuesday. The equations that would best represent the scenario above using the number of items uneaten are:

(regular rolls) : 15x - 2y = 4

(vegetarian rolls) : 20x - 3y = 1

The values of x and y from the system of linear equations are:

x = 2 and y = 13

Therefore, there were 2 chefs and 13 customers.