**Problem Statement:**John spent half of his weekly allowance on a movie. To earn more money he agreed to wash his uncle's car for $10.00. After being paid for washing the car John had $22.50. How much is his allowance?**Solution:**1. Let John's weekly allowance be denoted by $ A $ dollars.2. Since John spent half of his allowance on a movie, the amount he spent is $ \frac{A}{2} $.3. Therefore, the amount he had left after the movie is $ \frac{A}{2} $ dollars.4. John earned $10.00 by washing his uncle's car.5. After earning the $10.00, the total amount of money John had was $22.50.Using these steps, we can set up the following equation to solve for $ A $:\[ \frac{A}{2} + 10 = 22.50 \]**Step-by-Step Calculation:**1. Subtract $10.00 from both sides of the equation:\[ \frac{A}{2} = 22.50 - 10 \]\[ \frac{A}{2} = 12.50 \]2. Multiply both sides of the equation by 2 to solve for $ A $:\[ A = 12.50 \times 2 \]\[ A = 25 \]**Answer:**John's weekly allowance is $25.00.

Let the weekly allowance of the john =$x He agreed to wash his uncle's car for $10.00. The amount he…

Answered: John spent half of his weekly allowance…

John spent half of his weekly allowance movie. To earn more money he agreed wash his uncle's car for $10.00. After be paid for washing the care John had $22. How much is his allowance?

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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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

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**Problem Statement:**

John spent half of his weekly allowance on a movie. To earn more money he agreed to wash his uncle's car for $10.00. After being paid for washing the car John had $22.50. How much is his allowance?

**Solution:**

1. Let John's weekly allowance be denoted by $ A $ dollars.
2. Since John spent half of his allowance on a movie, the amount he spent is $ \frac{A}{2} $.
3. Therefore, the amount he had left after the movie is $ \frac{A}{2} $ dollars.
4. John earned $10.00 by washing his uncle's car.
5. After earning the $10.00, the total amount of money John had was $22.50.

Using these steps, we can set up the following equation to solve for $ A $:

\[ \frac{A}{2} + 10 = 22.50 \]

**Step-by-Step Calculation:**

1. Subtract $10.00 from both sides of the equation:

\[ \frac{A}{2} = 22.50 - 10 \]
\[ \frac{A}{2} = 12.50 \]

2. Multiply both sides of the equation by 2 to solve for $ A $:

\[ A = 12.50 \times 2 \]
\[ A = 25 \]

**Answer:**

John's weekly allowance is $25.00.

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