Question

the hot fair is coming to town admission to the fair cost 12.99 and each ride costs 1.75 tou have 35 to spend at the fair including admission Part A: write an inequality that represents this situation Part B: solve the inequality to determine the maximum number of rides you can enjoy at the hot summer fair

Answer 1

To express this situation let x be the number of rides you take in the hot fair.

To x we have to multiply the cost of each ride and add the cost of admission to the fair, this can be writeen as

$1.75x+12.99$

Since you can expend a maximum of 35, the inequality representing this problem is

$1.75x+12.99\leq35$

Solving the inequality we have

$\begin{gathered} 1.75x+12.99\leq35 \\ 1.75x\leq35-12.99 \\ 1.75x\leq22.01 \\ x\leq\frac{22.01}{1.75} \\ x\leq12.58 \end{gathered}$

Since we can't take a decimal part of a ride, the maximum number of rides you can take is 12.