A buffet restaurant has one price for adults and another price for children. the taylor family has two adults and three children, and their bill was $40.50. the wong family has three adults and one child. their bill was $38. which system of equations could be used to determine the buffet price for an adult and the price for a child? a. x y = 40.50 x y = 38 b. 2x 3y = 40.50 x 3y = 38 c. 2x 3y = 40.50 3x y = 38 d. 2x 2y = 40.50 3x y = 38

Question

Mathematics

Azul Collins

17 January, 01:17

A buffet restaurant has one price for adults and another price for children. the taylor family has two adults and three children, and their bill was $40.50. the wong family has three adults and one child. their bill was $38. which system of equations could be used to determine the buffet price for an adult and the price for a child? a. x y = 40.50 x y = 38 b. 2x 3y = 40.50 x 3y = 38 c. 2x 3y = 40.50 3x y = 38 d. 2x 2y = 40.50 3x y = 38

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Answers (1)

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Sam Miller · Answer 1

Let x be the price for adults and y be the price for children at the restaurant. The total amount paid by the Taylor family is $40.50 and may be expressed as 2x + 3y. That of the Wong family may be expressed as 3x + y and amounts to $38. Thus, the system of linear equation is,

2x + 3y = 40.50

3x + y = 38

The answer therefore is letter C.