She wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys. If Rafaela creates the greatest number of teams possible, how many boys will be on each team?

Q: Jewel has 20 apples and 16 banana's that she wants to arrange in baskets,there needs to be the same…

A:

Q: Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. What is the greatest number…

A: Given,             Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.And for…

Q: Forty percent of the students in a math class have brown eyes. If there are 10 students with brown…

A: Given,         Forty percent of the students in a math class have brown eyes. There are 10 students…

Q: If the class has 670 points in total, how much I need to pass with the 70%?

A: Formula to calculate the percentage (%) value defined as shown below…

Q: Suppose that a collection of 100 coins (consisting of fifty cent pieces, dimes, and pennies) is…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: Kara has 1010 books on a shelf and decides to move 33 of them to an empty shelf. In how many…

A: Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many…

Q: In the cafeteria, there is one large 10-seat table and many smaller 4-seat tables. There are enough…

A: Given data: The number of 10 seater table is 1. The number of 4 seater table is x. The total numbers…

Q: there are 4x+5 girls in classroom. If each of them is asked to bring 5x2+6x-3 pices of plastic cups,…

A: To find the total number of plastic cups

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Solution is given below:

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of a…

Q: In a room containing 45 students there were twice as many girls as boys. Howmany of each were there?

A:

Q: Brooke has 8 different playlists on her mp3 player, each having 15 songs. If she equally divides…

A: To find the number of songs divided among the 10 playlists.

Q: Solve by the method of your choice: Using 15 flavors of ice cream, how many cones with three…

A:

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 27 pieces. How many different…

A: Given problem is from selection method of combination where order doesn't matter .  It's formula is…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 22 pieces. How many different…

A: Permutation formula: nPr = n!/(n-r)!

Q: If Crystal multiplies her age by 3 and then adds 2, she will get a number equal to her mother's age.…

A: Given that , Mother's age = m Crystal's age in terms of m = ?

Q: .Carmi is ranked 13th from right and 8th from left. How many students are there in total?

A:

Q: Kirk has 42 pieces of candy to divide evenly between his three children. If he puts the pieces into…

A: There are 42 pieces of candy . And we have to divide these candy in three equal part so each of…

Q: Liza is a basketball coach and must select 5 players out of 12 players to start a game. In how many…

A:

Q: A restaurant has 20 items on their menu.  If you choose four different things to eat where the order…

A:

Q: Suppose you work at a bowling alley. After work one day, you decide to line up bowling pins in a…

A: The bowling pins are arranged in triangular pattern such that one pin in first row, two pins in…

Q: Sarah needs to order 450 clips , if the binder clips comes in boxes of 15 how many boxes should…

A:

Q: The Art Department at AUM has three painting from Mike, five by Amy , and 3 by Jack.  In how many…

A:

Q: Lina has a China figurine, a glass figurine, and a soapstone bear. In how many ways can she choose…

A: Lina has a China figurine, a glass figurine, and a soapstone bear.

Q: Find the seating capacity of a movie house with 40 rows of seats if there are 25 seats in the first…

A: Given that First row has 25 seatsSecond row has 28 seatsThird row has 31 seats and so on.Total…

Q: How many different outfits could you wear if you were to select from four sweaters, six pairs of…

A:

Q: The four owners of a shop realize a loss of $240 in February. If the loss is shared equally, what…

A: Given: Four owners of a shop realize a loss of 240 dollars in a month February.

Q: Pam is arranging her photos on the wall. There are 5 spaces on the wall to hang her photos. If she…

A: Given Data: Number of space=5 Number of family=5 Number of landscape=10

Q: a farmer plants 4 apple trees for every 3 pecan trees in the orchard. she plants two 2 peach trees…

A:

Q: In a box of dishes, bowls represent 2/5 of the number of plates. If there are 30 more plates than…

A:

Q: There are seven boys to every three girls in an introductory biology course. If there are 370…

A:

Q: Coco arranged 32 chairs in 4 rows. If each row has an equal number of chairs, how many chairs are in…

A:

Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Given that, the track team has 20 members and will be sending 5 members to the next competition.

Q: Jack has 4 tiles and wants to fing out how many different shapes he can make with all of them.

A:

Q: Jose has 52 coins among which there are only nickels and pennies. If the value of the coins is…

A: We can use simultaneous equations in order to solve the given problem.

Q: Of 8 pups, there are more girls than boys. How many girl pups are there?

A: Let there are x number of girls and y number of boys. and there are total 8 pups, so x + y = 8…

Q: A restaurant manager wants to purchase 200 sets of dishes. One design cost $25 per set, while…

A: Let 'x' sets for the design cost $25 per set and  'y' sets for the design cost $45 per set should be…

Q: Camila and Evelyn work at a dry cleaners ironing shirts. Camila can iron 40 shirts per hour, and…

A:

Q: Chandra has 10 pieces of jewelry in her jewelry case, and she wants to take four pieces with her on…

A: To find: In how many ways can she select the jewelry for her trip?

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces. How many different…

A: Given :  A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces.  Use…

Q: How many combinations of playlist can we make with 12 songs when there are six songs in each and…

A: Order does not matter in Combinations The number of combinations can be calculated using the…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces. How many different…

A:

Q: One third of the cars available for sale in a dealership are used cars. If there are 20 new cars,…

A: 1/3 rd of cars x = used cars   New or unused cars = 2/3 x

Q: A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces. How many different…

A: In this case arrangement matters.  So we will use the permutation method.  He has to pick 6 pieces…

Q: Alan has to carry 273 apples from a farm to the market. How many baskets will he need, given that…

A: Alan has to carry 273 apples from a farm to the market. How many baskets will he need, given that…

Q: Mandy is making stationery sets from 1616 sheets of paper and 1212 envelopes. If she wants all the…

A: First note that 1616=4×404 sheets of paper  And 1212=3×404 envelopes

Q: On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text…

A: Given Data: The number of text messages sent by Armand each hour is: m The number of hours Armand…

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.