## Real World Problem: Solving Two-Step Inequalities### Scenario:Donald has $25 to spend at the carnival. The admission to the carnival is $4 and the rides cost $1.50 each.### Task:Set up an inequality and solve. Do not use dollar signs in your answer. Use $ x $ as your variable.### Steps to Solve:1. **Inequality Setup**: \[ 4 + 1.5x \leq 25 \] This represents the total cost (admission fee plus the cost of rides) being less than or equal to $25.2. **Solving for $ x $**: \[ 4 + 1.5x \leq 25 \] Subtract 4 from both sides: \[ 1.5x \leq 21 \] Divide by 1.5: \[ x \leq 14 \]### Conclusion:The greatest number of carnival rides ($ x $) Donald can go on is $ 14 $.Enter your answers into the fields provided and click on "Check" to confirm your solution. Use the input fields to complete the inequality and solve for $ x $.### Diagram Explanation:There are no diagrams or graphs associated with this problem. The problem solely involves setting up and solving a two-step inequality to find the maximum number of rides Donald can enjoy at the carnival within his budget.

Answered: Image /qna-images/answer/c40d7d75-f2d5-474c-a8f1-e886328372ab.jpg

Donald has $25 to spend at the carnival. The admission to the carnival is $4 and the rides cost $1.50 each. Set up an inequality and solve. Do not use dollar signs in your answer. Use z as your variable. Inequality: Solve: I What is the greatest number of carnival rides, r, Donald can go on? The greatest number of rides he can ride is Check

Donald has $25 to spend at the carnival. The admission to the carnival is $4 and the rides cost $1.50 each. Set up an inequality and solve. Do not use dollar signs in your answer. Use z as your variable. Inequality: Solve: I What is the greatest number of carnival rides, r, Donald can go on? The greatest number of rides he can ride is Check

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

## Real World Problem: Solving Two-Step Inequalities

### Scenario:
Donald has $25 to spend at the carnival. The admission to the carnival is $4 and the rides cost $1.50 each.

### Task:
Set up an inequality and solve. Do not use dollar signs in your answer. Use $ x $ as your variable.

### Steps to Solve:

1. **Inequality Setup**:
\[
4 + 1.5x \leq 25
\]
This represents the total cost (admission fee plus the cost of rides) being less than or equal to $25.

2. **Solving for $ x $**:
\[
4 + 1.5x \leq 25
\]
Subtract 4 from both sides:
\[
1.5x \leq 21
\]
Divide by 1.5:
\[
x \leq 14
\]

### Conclusion:
The greatest number of carnival rides ($ x $) Donald can go on is $ 14 $.

Enter your answers into the fields provided and click on "Check" to confirm your solution. Use the input fields to complete the inequality and solve for $ x $.

### Diagram Explanation:
There are no diagrams or graphs associated with this problem. The problem solely involves setting up and solving a two-step inequality to find the maximum number of rides Donald can enjoy at the carnival within his budget.

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