Alocal amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. a group of people paid $204.00 for tickets. which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of child tickets purchased?

Step-by-step explanation and the

Let x= the number of adult tickets purchased and let y= the number of child tickets purchased. We know that 1) A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. 2) A group of 12 people paid $204 for tickets. So is equation 1 and is equation 2. So therefore the answer is D.

OR

Even though you didn't provide options from which to choose, you don't need them to figure out the system.  We need an equation that involves the NUMBER of people and then we need an equation that involves the MONEY earned.  Two different things here. As for the number of people, we know that the number of adult tickets + the number of children = 12 people, so is the first equation. Now for the money 21.50x + 14.75y = 204 is the 2nd equation.  So therefore your system is D.

what is the original number? you forgot to add it.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c