A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The total amount of money collected was $618. Which augmented matrix represents the situation?
Accepted Solution
A:
------------------------------------------------------------------------- Given Information ------------------------------------------------------------------------- Total number of people = 165 Adult = $6 Child = $2 Total collected = $618
------------------------------------------------------------------------- Assumptions ------------------------------------------------------------------------- Let x be the number of adults and y be the number of children
------------------------------------------------------------------------- Form equations ------------------------------------------------------------------------- Total number of people x + y = 165 Total amount collected 6x + 2y = 618
------------------------------------------------------------------------- Ans: The two equations are x + y = 165 and 6x + 2y = 618 -------------------------------------------------------------------------
The question is not asking for it but if you need to solve the equation to find the answer to x and y
------------------------------------------------------------------------- Present the two equations and solve for x and y ------------------------------------------------------------------------- x + y = 165 ------------------------- (eqn 1) 6x + 2y = 618 ------------------------- (eqn 2)
(eqn 1) : x + y = 165 x = 165 - y ------------------------- substitute into (eqn 2)
------------------------------------------------------------------------- Ans: 72 adults and 93 children -------------------------------------------------------------------------