**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,...

See similar textbooks

Related questions

Q: A distributor purchases industrial fans for $174 each. Its profit is 9.00% on selling price and…

A: Here's how to calculate the reduced profit per fan for the distributor:1. Selling Price before…

Q: Zoe is buying turkey from the deli. Turkey costs $3.40 per pound. If she buys 2.5 pounds of turkey,…

Q: A pair of shoes is on sale for $29. If the sales tax rate is 7.9%, what is the amount of sales tax?…

A: According to the given information in this question We need to find the amount of sales tax and…

Q: In a week a man received a paycheck for $289.50. The withholding for taxes was $94.50. If he worked…

Q: A company receives 1.5% commission on the sales price in each house sold. For each house he sells…

A: Given that the sale price= $205,000The company earns 1.5% of the sale price.So, 1.5% of…

Q: A pair of jeans costs $40 on sale for 20% off.

A: The objective of the question is to find the original price of the jeans before the sale.

Q: The sales tax rate is 10% . If Charlie buys a storage bin priced at $23, how much tax will he pay?

A: The sales rate is 10% and Charlie buys a storage priced at $23. Now, 10% of 23 is 23×10% =23×10100…

Q: The 7th grade teachers want to buy the principal a giant stuffed tiger for his office costing…

A: According to the question, Cost of stuffed tiger= $50.00 Discount = 10% Tax = 5% We need to…

Q: A music store buys instruments and then sells them for 30% more than they paid. During a 20% off…

Q: A distributor purchases industrial fans for $180 each. Its profit is 8.00% on selling price and…

Q: the bill at olive garden costs $32.75 find the total cost if the tax is 9.25 and a 18% tip what the…

A: Given, Olive garden cost= 32.75 And tax is 9.25% Tip is 18%

Q: You worked 15 hours last week. One job as a clerk paid $8.25 per hour and the other job giving…

A: Given: You worked 15 hours last week. One job as a clerk paid $8.25 per hour and the other job…

Q: mrs smith earns $2,400 per month and saves $600. what percent of her monthly income does she save

Q: your parents are buy a new car for 15000 dollars.They pay 6.25% sales tax.How much do they pay for…

A: Car buy 15000dollar and they pay tax 6.25%

Q: Asha received a gift card to another gym for $1000.00. This other gym requires a one-time $250 fee…

Q: A manager prices her new shoes at 40 % above the cost price. The cost price is $13.50. She then…

Q: Sonal bought a new sound system for her car costing $604. Sonal lives in Calgary, and so the price…

Q: Store B is selling the laptop for $425 and has a discount coupon for 25% off. Calculate the amount…

A: The objective of the question is to calculate the amount of discount provided by Store B on the…

Q: Maria Martinez sells jewelry and rents a booth at the annual city fair. She is required to collect…

A: Given, Maria decides to sell items for whole dollar amounts that include sales tax The sales tax is…

Q: The total price (including sales tax) of a coffee machine is $481.17. The sales rate is 8%. What is…

A: We have given Total price of a coffee machine = $ 481.17 The sale rate , r = 8% = 8100=0.08 Price…

Q: Margo makes $82,000 every year. If she spends $24,000 on rent each year, what percent of Margo’s…

Q: Jacob’s mom is paid twice her usual hourly wage for each hour she works over 40 hours a week. This…

Q: Chris sells computer equipment for his company. He receives a base pay of $300 plus commission on…

A: The base pay is $300. the commission on first $5000 is 10% that is 10% of 5000 calculate 10% of…

Q: A shirt is on sale for $25 at the local department store. The sales taxes equals 1/25 of the shirt's…

A: Given price of shirt $25 Also, it is given that sales tax equals of the shirt’s price. So, sales tax

Q: Mike Branson invested his summer earnings of $3000 in a savings account for college. The account…

A: Given: Mike Branson invested his summer earnings of $3000 in a saving account for college.The…

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

100%

**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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

A car rental agency advertised renting a car for $24.95 per day and $0.33 per mile. If Greg rents this car for 2 days, how many whole miles can he drive on a $250 budget? miles (Round down to the nearest whole mile.)
The list price, that means the price without a discount, for a new iPad is $650. The local Apple dealer is having a 20% off the list price sale. With the 20% discount, how much will the iPad cost you? A. $570 B. $630 C. $500 D. $520 E. $130
Alex earns 12% commission on any of her monthly sales over $5,000. Her sales for May were $6,750. How much commission did Alex earn?
A painter charges $15.76 per hour, plus an additional amount for the supplies. If he made $159.19 on a job where he worked 5 hours, how much did the supplies cost?
A 2 minute cab ride costs $5.25. A 5 minute cab ride costs $10.50. How much does a 3.8 minute cab ride cost?
Jenny bought 2 hammers and a wrench for $47. Penny bought 1 hammer and 3 wrenches for $41. How much will you pay if you buy 1 hammer and 2 wrenches?
The dinner bill is $62. I have $29.42 and my friend has $2.00. How much more is needed?
A dealer sells a car for $7200 making a profit of 20% on the original cost. What is the price?
A department store regularly sells a pair of pants for $49.95. They are having a sale where clothing is 30% off. After including an 8% sales tax, how much do the pants cost on sale?
An average vacation cost is $1,145 per person. How much would you expect to pay for a family of 4 to take a vacation?
The suggested list price of a new car is $34,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $100 overcost for the car?
irene got her first paycheck from her new job. she worked 30 hours and earned $382.50 how much does she earn per hour