Group of friends wants to got amusement park
Let x be the number of people in the group
They have no more money than $140 to spend on parking and admission.
Total money they had = $140
Parking = $6.50
Cost of tieckts for each person = $22.25
So, the cost for x person = %22.25x
Total money spend = Parking charges + Admission charges
Total money spend = 6.50 + 22.25x
Total money they can spend is 140 dollars So,
The inequality will be : 22.25x + 6.50 ≤ 140
Simplify the inequality:
![\begin{gathered} 22.25x\text{ + 6.50}\leq140 \\ 22.25x\text{ }\leq140-6.50 \\ 22.25x\leq133.5 \\ x\leq(133.5)/(22.25) \\ x\leq6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4l7rwu3jkhlpbpiyo2lthw488fvlccdgo1.png)
So, The number if people in the group cannot be more than 6
Answer :
![p\leq6](https://img.qammunity.org/2023/formulas/mathematics/college/41jo8f097rz1rfn730kcpzv46rw77mhg84.png)