An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbts is 5 less than one-half the number of cats, and there are 20 more cats than dogs, how many of each animal are at the shelter?

Q: Sarah and Jason had some money. After earning $20 each, Sarah had twice as much money as Jason, and…

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Q: A Broadway theater has 800 ​seats, divided into orchestra, main, and balcony seating. Orchestra…

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Q: A chemical company makes two brands of antifreeze. The first brand is 35% pure antifreeze, and the…

A: Solution Concentrations: A solution is usually described in terms of the amount of a substance…

Q: A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as…

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Q: The sum of $12,000 is invested in three mutual funds that pay 4%, 6.5% and 8% annual interest rates.…

A: Total amount invested is $12000 Let the mutual fund that pays 4% is mutual fund A, mutual fund that…

Q: For the opening night at the Opera House, a total of 1000 tickets were sold. Front orchestra seats…

A: Let the number of tickets of each type that were sold be x, y and z. As a total of 1000 tickets were…

Q: A mixture of 18 % disinfectant solution is to be made from 16 % and 23 % disinfectant solutions. How…

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Q: A total of $50,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If…

A: Given: Total investment=$50000. Amount in bond is to exceed that in CDs by $8000.

Q: A theater charges $50 per ticket for seats in Section A, $30 per ticket for seats in Section B, and…

A: A theater charges $50 per ticket for seats in Section A, $30 per ticket for seats in Section B, and…

Q: A minor league baseball team plays 85 games in a season. If the team won 16 more than twice as…

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Q: A printer company has two locations with a total of 27 employees. If four times the number of…

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Q: A software company has two locations with a total of 28 employees. If three times the number of…

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Q: Peter and Dan shared some beads. After Peter gave away of his beads and Dan gave away - of his…

A: It is problem of single variable

Q: A mixture of 12% disinfectant solution is to be made from 10% and 20% disinfectant solutions. How…

A: Given:A mixture of 12% disinfectant solution is to be made from 10% and 20% disinfectant solutions.…

Q: A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the…

A: Let x gallons of gas be consumed by first car and y gallons of gas be consumed by second car.

Q: A chemical company makes two brands of antifreeze. The first brand is 60% pure antifreeze, and the…

A: Let x gallons of first brand and (150-x) gallons of second brand be used  to obtain 150 gallons of a…

Q: A movie theater has a seating capacity of 205. The theater charges $5.00 for children, $7.00 for…

A: We solve the problem by unitary method for three variables.

Q: A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze and the…

A: Let X= amount of 20% pure antifreeze needed       Y= amount of 85% pure antifreeze needed…

Q: A shop has two types of sandwiches: large and small. To make a small sandwich, 6” of bread and 2 oz.…

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Q: In 1 year, a health food manufacturer produces and sells 240,000 cases of vitamins. It costs $2 to…

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Q: Emily has a total of two hundred eighty-two pennies, nickels, and quarters. She has three and a half…

A: Given, Total Number of coins= 282 Let the number of pennies be x. Let the number of quarters be y.…

Q: the album the best of radiohead, by radiohead, has a list price of 11.73, and the album the king of…

A: Let no. of album the best of radiohead = x No. of album the kings of limbs = y Total Revenue =…

Q: At a college production of A Streetcar Named Desire, 400 tickets were sold. The ticket prices were…

A: Consider x, y, and z as is the sum of 400 tickets, x+y+z=400     .....(1) The ticket prices were $8,…

Q: In a college there are 13 times as many students as professors. if together the students and…

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Q: Sam has half again as many apples as Katie, while together Sam and Katie have 80 more apples than…

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Q: A hardware company has two locations with a total of 23 employees. If three times the number of…

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Q: At the start of last year, Annie had 14 more horses than Bob. Over the course of the year, Annie's…

A: We use system of linear equations to formulate the given information into mathematical terms and use…

Q: For the opening night at the Opera House, a total of 1000 tickets were sold. Front orchestra seats…

A: Topic - solution of equations

Q: A chemical company makes two brands of antifreeze. The first is 45% pure antifreeze and the second…

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Q: Two​ high-speed ferries leave at the same time from a city to go to the same island. The first​…

A: Given, Velocity of first ferry= 30 miles/hour Velocity of second ferry= 25 miles/hour Distance (d)=…

Q: A boy has as many brothers as he has sisters. Each of his sisters has twice as many brothers as she…

A: Given that a family has each girl as many as brothers as sisters and each boy have twice as many…

Q: A bag contains nickels, dimes and quarters having a value of S3.75. If there are 40 coins in all and…

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Q: If the circulation for newspaper 1 is 384 thousand more than the circulation for newspaper 2, and…

A: Let the circulation for newspaper 2 is xsince, the circulation for newspaper 1 is 3 & 4thousand…

Q: 9 University of Texas at Austin has three times as many students enrolled as University of Miami.…

A: Given that University of Texas at Austin has three times as many students enrolled as university of…

Q: An inventory of two types of Christmas lights shows a total of 71 lights valued at $318. If Type A…

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Q: Sarah has 3 more than twice as many books as George. If Sarah has 13 books, how many books does…

A: Since, it is given that Sarah has 3 more than twice as many books as George.Given that Sarah has 13…

Q: Annie has 20 more horses than Betty, while Connie has 12 more horses than Annie and Betty together.…

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Q: A student name Kyle has a wallet that has coins. Some are 10-peso, 5-peso, 1-peso, and 25-centavo…

A: A student name Kyle has a wallet that has coins. Some are 10-peso, 5-peso, 1-peso, and 25-centavo…

Q: The sum of the number of calories in a hamburger from Boston Burger and a hamburger fromCarmen's…

A: Let x be the number of calories in hand burger be x , then number of calories in Boston burger is…

Q: A bag contains nickels, dimes and quarters having a value of $3.75. If there are 40 coins in all and…

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Q: concert, $1600 in tickets were sold. Adult tickets were $9 each and children’s tickets were $4 each.…

A: Given query is to make the system of equations and solve them to find the solution.

Q: There were 38,000 hardback copies of a certain novel sold before the paperback version was issued.…

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Q: Cantwell Associates, a real estate developer, is planning to build a new apartment complex…

A: First write the given conditions into system of equations and then solve that system. Note: The…

Q: A piggy bank contains only nickels, dimes, and quarters. If there are 76 coins worth $8.50, and…

A:

Q: At a college production of Streetcar Named Desire, 400 tickets were sold. The ticket prices were $8,…

A: In this question we have three type of prices(3 unknowns) and we also have 3 conditions (3…

Q: A community theater sold 63 tickets to the afternoon performance for a total of $444. An adult…

A: Let x , y and z be the number of tickets sold to Adults , Children and Seniors Respectively

Q: Feddy, Sammy, Willy, and Yolanda are farmers. Freddy and Sammy together have twiceas many acres as…

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Q: There were 32,000 hardback copies of a certain novel sold before the paperback version was issued.…

A: The number of hardback copies of the novel sold before the paperback version is issued is 32,000.…

Q: A mixture of 16% disinfectant solution is to be made from 14% and 22% disinfectant solutions. How…

A: Let x gallon of 14% were used. So, (16-x) gallons of 22% are needed. Because total amount is 16…

Q: If the circulation for newspaper 1 is 384 thousand more than the circulation for newspaper 2, and…

A: Let the circulation for newspaper 2 =x thousand =The circulation for newspaper 1 =(x+384)…