write the inquality and solve it

Question

A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $9.75, and tickets cost $16.25 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answer 1

9.75 + 16.25p ≤ 65 (the price for parking plus 16.25 per person must be less than or equal to 65).

The following step is not mandatory, but if you prefer to not work with decimals multiply every term by 100 to clear the decimals:

975 + 1625p ≤ 6500

1625p ≤ 5525

p ≤ 5525/1625

p ≤ 3.4

Since we are dealing with people, no fractions or decimals, so the most people that can go to the amusement part using $65 is 3.

Check: 3(16.25)=48.75

Plus 9.75 for parking: 48.75+ 9.75 = $58.50

But if 4 people try to go:

4(16.25)=65

Plus parking: 65+9.75 (not enough cash on hand)