Part A: 42.50+0.65x<60
Part B: You can enjoy maximum 26 rides at the fairy tale spectacular.
Step-by-step explanation:
Given,
Admission cost to fair = $42.50
Cost of each ride = $0.65
Amount you can spend = $60
Let,
x be the number of rides you can take.
Admission fair + Cost of each ride*number of rides < Amount you can spend
Part A: write an inequality that represents this situation.
42.50+0.65x<60
Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.
[tex]42.50+0.65x<60\\0.65x<60-42.50\\0.65x<17.50[/tex]
Dividing both sides by 0.65
[tex]\frac{0.65x}{0.65}<\frac{17.50}{0.65}\\x<26.92[/tex]
Rounding off to nearest whole number;
x<27
Less than 27 means, you cannot take 27 rides, therefore,
You can enjoy maximum 26 rides at the fairy tale spectacular.
Keywords: inequality, division
Learn more about inequalities at:
#LearnwithBrainly
