Question

The cost of a ticket to a amusement park is 42 dollars per person for a group of up to 8 people, the cost per ticke decreased by three dollars for each person in the group Marcos ticket cost 30 dollars. Write and solve an equation to find the number of people in Marcos group

Answer 1

32

Explanation:

Let x is the number of groups

Let y is the total cost of the ticket

The number of people = 8x

Given that:

Ticket price: $42 for a group of up to 8 people

The cost per ticket decreased by three dollars => the slope is 3

So we can form the equation: y = -3x + 42

Here Marcos ticket cost 30 dollars, so:

y = -3x + 42 = 30

<=> -3x + 42 = 30

<=> x = 4

So the number of people in Marcos group is: 8*4 = 32

Answer 2

4

Explanation:

According to the statement we have the following information:

Ticket price per person: $ 42

Marcos ticket: $ 30

And we know that it decreases by 3 for each person there (our unknown x), that is: -3 * x

Now if we group this, we have to:

42 - 3 * x = 30

This equation summarizes what the question says, to know the number of the person you must solve for x, like this:

42 - 3 * x = 30

-3 * x = 30 - 42

x = 12/3

x = 4

Which means that the number of people in Marcos's group was 4 people.