the cost of a ticket to an amusement park is $42 per person for groups up to 8 people, the cost per ticket decreases by $3 for each person in the group. Marcos's ticket cost $30. Write and solve an equation to find the number of people in Marcos's group.
For this case, the first thing we must do is define variables: x: number of people y: total cost of the ticket We write then the linear equation that represents this problem: y = (- 3/8) x + 42 For y = 30 we have: 30 = (- 3/8) x + 42 We clear the value of x: (3/8) x = 42 - 30 x = (8/3) * (12) x = 32 Answer: the number of people in Marcos's group is: x = 32
