Question

A group of friends wants to go to the amusement park. They have

Answer 1

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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