Question

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

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.