Fiona, Ben, and Catherine are siblings whose ages are consecutive even integers. Fiona is the youngest and Catherine is the oldest. If the sum of all three of their ages is 78, set up an equation and solve algebraically for Catherine's age.

Fiona, Ben, and Catherine are siblings whose ages are consecutive even integers. Fiona is the youngest and Catherine is the oldest. If the sum of all three of their ages is 78, set up an equation and solve algebraically for Catherine's age.

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: set up an equation and solve each problem. Two positive integers differ by 3, and their product is…

A: Given statement: Two positive integers differ by 3, and their product is 108.

Q: Jace's score is one-fourth of Alec's score. If Jace's score is -8, what is Alec's score? Write an…

A: NOTE: Refresh your page if you can't see any equations. . x=Jace's score y=Alec's score

Q: brent had $25 when he went to the fair. after playin 3 games, he had $10 left. write an equation to…

A: Given: Total money Brent had = $25 Money left after 3 games = $10 To determine: Equation to…

Q: sides. There are two long sides and one shorter side parallel to the house, and he needs 267 feet…

Q: A trampline park charges tyler $15.00 to enter the building and then $1.00 for each hour he plays.…

A: We have to make a table of value and an equation that represents how much it will cost Tyler over…

Q: The length of a rectangular sign is 6 inches more than half its width. The area of this sign is 432…

Q: A cell phone company charges $30.00 per month for the first 300 minutes and $0.10 per each…

A: The required equation is 30+0.10*m=45

Q: $7 less than twice his sister's, which equation can be used to determine his sister salary?

A: $7 less than twice his sister's salary. Which equation can be used to determine his sister salary?

Q: Two buses leave the same time in opposite directions. One bus travelswestbound while the other…

Q: Ahmed and Mona are competing on a quiz app. Ahmed has 40 points already and is wining 20 points per…

A: Suppose that time taken for Mona to overtake Ahmed is denoted by m.

Q: A public beach in Florida charges nonresidents $8 per day for a fishing license and $2 per day for…

Q: A health club charges non-members $12 per day along with an additional charge of $9 per day for a…

Q: Adam goes to a skating rink on Tuesdays for $8.50. While there, he pays $1.50 for each item he buys…

Q: Nancy has 53 marbles. She buys x marbles, after which her collection increases to 105 marbles. Which…

Q: A person wishes to build a rectangular fence that will enclose an area of 317 square feet. The width…

Q: Mary is three times as old as her son. In 12 years, Mary's age will be one year less than twice her…

Q: Jane has two test grades of 83, four grades of 86, and 3 grades of 92 on her first nine math tests.…

Q: The distance, d, that a certain car is from Math City after h hours, can be determined by the…

A: Given, The distance, d, that a certain car is from Math City after h hours, can be…

Q: set up an equation and solve each problem. A company has a rectangular parking lot 40 meters wide…

A: Consider the given information as b=40 and l=60

Q: Each month Marla pays a $30 cell phone bill from her back account. At the end of one year, what is…

A: Given that Marla pays $30 each month for her cell phone bill from her bank account.

Q: Qasim is 25 years older than Julie. In 7 years Qasim will be 2 times Julie age. How old is each now?…

A: Topic = Algebra

Question

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

Similar questions

Corey's age is 12 years less than 2 times Sam's age. The sum of their ages is 52 years. Which of the following equations in terms of S (Sam ) could be used to determine how old Corey and Sam are? A
A cinema has a fixed cost of $1,036 per day, and a variable cost of $8 per ticket sold to a customer. The cinema charges $20 for a ticket. Find the profit if 96 tickets are sold. [Write the solution as an integer number]
Max is saving money to buy a new scooter. He decides to save $10 per week and starts with $50 in his savings account. His friend also gives him $5 every week to help him reach his goal. Write an equation to represent Max's savings in terms of the number of weeks he saves. Determine the total amount of money Max will have after saving for 10 weeks. At what point will Max's savings reach $400?
Oceanside bike rental shop charger 9 dollars plus 8 dollars an hour for renting a bike. Stephen paid 41 dollars to rent a bike. Create an equation to represent this situation.
Liz paid $141 one month . In that month she attended a certain number of physical training sessions . Write an equation that relates the total amount Liz paid and the number of physical training sessions she attended.
A game show contest earns y dollars for completing a puzzle in x minutes. This situation is represented by the equation y=-250x+5000. how many minutes did it take a contestant who earned 500 dollars take to complete the puzzle.
Pablo's father is 4 years older than his mother and Pablo is a third of his mother's age. If their combined age is 74 years, form an equation and solve how old they are