The equation which is used to determine p, the number of people who can to the amusement park is $247.50 = 12 + $39.25p
And, the number of people (p) who go to the amusement park is 6.
According to the question,
The amount of money to be spent by friends, say y = $247.50
The amount of money to be paid for parking = $12
Cost of the ticket for one person = $39.25
Let the total number of friends in the group = p
Therefore, the total cost of the ticket for p number of friends = $39.25p
Hence, the Linear Equation in two variables is used to determine the total number of people who go to the park is -
y = 12 + $39.25p
Substituting the value of y, we get
$247.50 = 12 + $39.25p
$247.50 - 12 = $39.25p
235.5 = 39.25p
or, 235.5 / 39.25 = p
or, p = 6
Hence, the number of people (p) who go to the amusement park is 6.
So, the equation which is used to determine p (number of people) is:-
$247.50 = 12 + $39.25p
where the number of people (p) is 6.
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