Question

The trampoline park charges a $8 for kids and $4 for adults. Your extended family is going there to celebrate your birthday. Your family has at most $190 dollars to spend on entrance fees. You can invite at most 35 people. What are some possible combinations of adults and kids who could go to your party? Write a system of equations for this situation.

Answer 1

The answer is below

Explanation:

Let x represent the number of kids and y represent the number of adults that can be invited to the park.

Since the family has at most $190 to spend, hence:

8x + 4y ≤ 190 (1)

Also, the maximum number of invites is 35 people. This is represented by the equation:

x + y ≤ 35 (2)

Graphing equation 1 and equation 2 using geogebra online graphing

We have the solution as:

(0, 35), (23.75, 0) and (12.5, 22.5)

Since the number of people must be a whole number, the possible solutions are:

0 children and 35 adults or 23 children and 0 adults or 12 children and 22 adults