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ELEN [110]
1 year ago
11

A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is

$16.50, and tickets cost $38.50 per person, including tax. What is the maximum number of people who can go to the amusement park?
Mathematics
1 answer:
Luda [366]1 year ago
5 0

The maximum 5 number of people who can go to the amusement park.

<h3>What is described as the linear equation in two variables?</h3>
  • A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero.
  • For instance, 12x+4y = 23 and -5x+8y = 22 are two-variable linear equations.

For the given question;

The total budget of the group of friends is $325.

Let 'x' be the number of people went to amusement park.

Let 'y' be the number of time parking done.

y = 1, given in this case.

Then,

The cost of parking = $16.50

The cost of each ticket = $38.50

Thus, the inequality will be;

38.50x + 16.50y ≤ 235

Put y = 1. as one parking is done.

38.50x + 16.50 ≤ 235

Solve the expression;

38.50x ≤ 235 - 16.50

38.50x ≤ 218.5

Divide both side by 38.50

x ≤ 5.67

Thus, x = 5 person, as x must be less than or equal to, but number of person must have to be a integer.

The maximum number of people who can go to the amusement park is 5.

To know more about the linear equation in two variables, here

brainly.com/question/13951177

#SPJ9

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