Answer:
(A) [tex]r[/tex] is < than equal to 17
Step-by-step explanation:
Total amount Jim had for the carnival =$25.00
Amount spent on food = $3.75
Amount left with him = [tex]\$25.00-\$3.75=\$21.25[/tex]
Jim plans to sped rest on tickets for rides.
Cost of each ride ticket = $1.25
Given: [tex]r[/tex] represents the number of ride tickets bought.
Using unitary method
If 1 ride ticket cost = $1.25
Cost of [tex]r[/tex] ride tickets in dollars will be = [tex]1.25r[/tex]
Amount spent on rides must be less than or equal to the total amount left with Jim which is =$21.25.
So, we have:
⇒ [tex]1.25r\leq 21.25[/tex]
Dividing both sides by 1.25.
⇒ [tex]\frac{1.25r}{1.25}\leq \frac{21.25}{1.25}[/tex]
∴ [tex]r\leq 17[/tex]
Thus, the inequality representing te number of tickets Jim can purchase is given by:
[tex]r\leq 17[/tex]
