Answers

1. The equation of the given statement:

   B. x + y = 414, 9x + 12y = 3780

   The correct option is B.

   What is linear equation?

   One or two variables are all that are present in a linear equation. No variable in a linear equation is multiplied by a number larger than one or utilized as the denominator of a fraction. When you identify two values that together make a linear equation true and plot those two values on a coordinate grid, all of the points fall along the same line.

   According to the given information:

   total number of customer = 414

   total paid  = 3780

   the cost for a child  per game is =  $9

   the cost for an adult per game is =  $12

   so,

   first equation will be:

   x represents the number of children

   y represents the number of adults

   x + y = 414

   second equation is :

   x represents the number of children

   y represents the number of adults

   total paid  = 3780

   the cost for a child  per game is =  $9

   the cost for an adult per game is =  $12

   9x + 12y = 3780

   The equation of the given statement:

   B. x + y = 414, 9x + 12y = 3780

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   I understand that the question you are looking for is:

   On one day at a local minigolf course, there were 414 customers who paid a total of $3,780. if the cost for a child is $9 per game and the cost for an adult is $12 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.

   A. x + y = 414 , 12x + 9y = 3780

   B. x + y = 414, 9x + 12y = 3780

   C. x + y = 3780 ,12x + 9y = 414

   D. x + y = 3780, 9x + 12y = 414

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