new dormitory is to be constructed.  There will be three types of rooms: single rooms which accommodate just 1 student per room, double rooms which accommodate 2 students per room, and triple rooms which accommodate 3 students per room.  The dorm will contain 151 rooms and accommodate 262 students. Further, there will be 20 more double rooms than single rooms.  Find the number of each type of room.

Q: If Harry and Heinrick start eating at the same time, when will their ponds have the same number of…

A: Initially, number of Loly pads in harry's pond=20 Number of Lilly pads in Heinrick's pond=29 Harry…

Q: A combination has 4 characters.  There are 2 letters and 2 numbers.  The numbers must be 0-9.  how…

A: Given : There are combinations of 4 characters. There are 2 letters and 2 numbers.

Q: Coach Krahn has 8 starting players to place in his batting lineup for the kickball game. If the…

A: The coach has 8 players to place in batting lineup. As per the question the last place of lineup is…

Q: Complete this two-way table based on the information provided. On Wednesday, 120 students ate lunch.…

A:

Q: A student applies for twenty scholarhips to various universities. Eleven of the scholarships pay a…

A: Consider two sets A and B. Now, A ∪ B defines the collection of elements, which belong to the set A…

Q: A jar of coins contains nickels, dimes, and quarters. The total number of coins is 8 and the total…

A:

Q: Elizabeth's tablet has a combined total of 20 apps and movies. Let x represent the number of apps…

A: Given, Elizabeth's tablet has a combined total of 20 apps and movies. Let xrepresent the number of…

Q: Don has two pairs of shoes, six pairs of pants, and six shirts. If all items are compatible, how…

A: Given that Don has two pairs of shoes, six pairs of pants, and six shirts. If all items are…

Q: Sophie is working at a hair salon and building a tool kit. There are 8 hair dryers and 10…

A:

Q: Don has nine pairs of shoes, seven pairs of pants, and three shirts. If all items are compatible,…

A:

Q: 3.) A chef cooks 2 of a pound of pasta. She plans to serve - of a pound to each customer. How 12…

A:

Q: A family bought a total of 16 adult and child tickets to a magic show.  Adult tickets are $10.50…

A: let "a" adult tickets and "c" child has been bought.we get an equation as 10.5a+7.5c=141the vlaue of…

Q: A game of mistle consists of 4 teams; 3 teams lose and 1 team wins. Thirty one teams enter a mistle…

A: Given information: It is given that the game of mistle consists of 4 teams. In the game 3 teams lose…

Q: A large auditorium has 90 rows of seats. The first row has 20 seats, and each succeeding row has 3…

A: Given query is to find number of seats in the auditorium.

Q: Jill needs to make a password for her email account. The password must be all digits and contain…

A:

Q: A toll collector on a highway receives $8 for trucks and $7 for cars. At the end of a 3-hour period,…

A:

Q: A teacher gives a test with 17 questions. Students are allowed to choose any thirteen to answer. How…

A:

Q: of the toys that John had were cars and the rest were trains. After giving away - How many toys did…

A: First we will form the equations corresponding to the given statement then solving those equations…

Q: James is in charge of planning a reception for 1800 people. Predict the number of people who…

A: Total = 32+25+46+65 = 168

Q: Evaluate. 417! 315! Simplify your answer as much as possible.

A: In general denotation, the factorial term, n! implies the product of all non-negative integer values…

Q: After a service call by a plumber, the company follows up with a survey to rate the service and…

A: For yes/ no type questions:

Q: Matthew had $5 saved. He earned $9 by completing chores. He spent $20 on a vldeo game. How much…

A: The answer is found in step-2

Q: 13. The ratio of boys to girls in Mr. Johnson's after-school club is the same as the ratio of boys…

A: Since, it is given that there are 4 boys and 12 girls in Mr. Johnson's club.Therefore, the ratio of…

Q: Field trip all the 5th graders at Lincoln elementary school will go on a field trip to the science…

A: given total people=147 people in each bus =44 to find  number of buses

Q: The formula in cell A2 is =B$4+$C5 and is copied to B3. What will the formula in B3 be? Group of…

A: The objective of the question is to understand how Excel formulas change when they are copied from…

Q: .A grocery store receive the package of 950 kiwis .some of the kiwis are arranged equally in 33…

A: The following information is given in the question:-  Total number of kiwis = 950Number of boxes =…

Q: A merry-go-round at the amusement park has 48 horses. Each horse holds 1 child. The ride lasts 4…

A: Ride time=4 minutes Time to change the riders=2 minutes   Let us assume that the ride is empty at…

Q: he dollar menu at your favorite tax-free fast food restaurant has 7 items. You have $15 to spend.…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.