Nine athletes from a co-ed track team stop for lunch. The men eat four pieces of pizza each, the women eat two pieces each, and the coach eats three pieces of pizza. If the team bought four pizzas, each cut into eight pieces, and there were five pieces left over (mmm, doggy bag), how many men and women were on the team?

Q: 50-liter wine reserves from 12% to 7% by removing a part and replacing it with wine of 4% alcohol

A: Wine = 50 Liters Current alcohol content = 12%

Q: Kevin wants a new paddle​ board, and will buy a package consisting of a​ board, custom​ fin, and…

A: Kevin wants a new paddle​ board, and will buy a package consisting of a​ board, custom​ fin, and…

Q: You bought 3 boxes of regular pizza, which are sliced into 8 pieces each, for your basketball team.…

A:

Q: There are 40 pieces of candy in Josh's bag. If - of the 8 candy are bags of M & M's, how many bags…

A: Given there are 40 pieces of candy in Josh's bag. 18 of the candy are bags of M & M's. We have…

Q: For a particular​ event, 915tickets were sold for a total of $6045.  If students paid ​$55 per…

A:

Q: A girl got 40 marks in a paper of 60 marks. And the subject has 80% weightage, so how many marks did…

A:

Q: In a large garden consisting only of roses and tulips, $$76\%$$ of the roses and $$18\%$$ of the…

A: In a large garden consisting only of roses and tulips, 76% of the roses and 18% of the tulips are…

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: There are 364 students who are enrolled in an introductory biology course. If there are five boys to…

A:

Q: Francis wants to donate his 15 books to his three friends. If he gives 7 books to one of his friend,…

A: You have 15 books. 7 to one friend 5 to other friend  And 3 to third friend.  No. Of ways to do this…

Q: Kevin wants a new paddle​ board, and will buy a package consisting of a​ board, custom​ fin, and…

A: From the given information

Q: If mark has 17 grapes And gives away 2. how Many does he have left?

A: Subtraction problem

Q: If Tim has 6 apples in each bag and he has 12 bags each, how many apples does he have all together?

A: Use unitary method.

Q: there are cows and hens in the farm. if there are total of 65 heads and 160 legs, how many cows are…

A:

Q: At Rosemont High School, 14 players are on the varsity bas- ketball team, 35 players are on the…

A: Given: Let A denotes the varsity basketball team and B denotes the varsity football team then,…

Q: A certain brand of razor blades comes in packages of 6, 12, and 24 blades, costing $2, $3, and $4…

A: Let x be the number of $2 6 packs, y the number of $3 12 packs and z be…

Q: Howard is picking out some movies to rent, and he has narrowed down his selections to 44 children's…

A: Hello there, in the question digit has been repeated, it is appearing 66,55,44,77,99,55 to us. I…

Q: There are 148 juniors and 272 seniors attending prom this year. If there must be three chaperones…

A: Given there are 148 juniors and 272 seniorsTotal students=148+272=420Given that there must be 3…

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: As per given information: He puts the chocolate into group of 11 Then he is putting 48×93=4464…

Q: If a baseball manager has 5 pitchers and 2 catchers, how many different pitcher-catcher combinations…

A: From the provided information, Baseball manager has 5 pitchers and 2 catchers.

Q: A theater has a seating capacity of 900 and charges $6 for children, $10 for adults. At a certain…

A: Given that,   A theater has a seating capacity of 900 and charges $6 for children, $10 for adults.…

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

A:

Q: At an appliance store’s grand-opening sale, 152 customers bought a washer or a dryer. Looking at the…

A: Here we have to find the number of customers who bought only washer. The solution is following .

Q: Out of 8800 kids visited a restaurant, 2400 like pizza, 3360 like burgers, and 2240 like sandwich,…

A: It is given that out of 8,800 kids 2,400 likes pizza, 3,360 like burgers and 2,240 likes sandwich.

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

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: At a charity benefit with 33 people in attendance, three $50 gift certificates are given away as…

A:

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: A pottery studio gives three- hour and four- hour ceramics classes for $49 an hour. If the studio…

A:

Q: In a music club with 15 members, 7 people played the piano, 11 people played the guitar, and 2…

A: Given that in a music club of 15 members 7 people played the piano, 11 people played the guitar and…

Q: Out of 800 families with 5 children each, how many would you expect to have, (i). 3 boys (ii) Either…

A:

Q: A woman has two skirts and six blouses. Assuming that they all match, how many different skirt and…

A: As we know, nCx=n!(x)!  *  (n-x)! ; where n!=1*2*3*.....(n-1)*n

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

A:

Q: An employment agency specializing in temporary construction help pays heavy equipment operators $122…

A:

Q: There are 364 first grade student in park elementary school if there are 26 girls than boys, how…

A:

Q: In a running competition, a bronze, silver and gold medal must be given to the top three girls and…

A:

Q: There are 80 seats in the theatre. If 20% of the seats are occupied, how many seats remain…

A: To find number of seats remain unoccupied in the theatre

Q: bakery receives an order for 1,600 cookies. if 12 cookies are packed in each bag, will 132 bags bags…

A: Given that a bakery receives an order for 1,600 cookies. if 12 cookies are packed in each bag, will…

Q: Out of a group of 20 children, 10 drink tea, 9 drink coffee and 7 drink milo. 4 drink tea and coffee…

A: Given Number of children drink tea = n(T) = 10 number of children drink coffee = n(C) = 9 number of…

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: if Jake got 5 apples and Katie takes away 3 how many apples will he have

A: To calculate the number of apples left with Jake.

Q: For her English literature course, Ruchika has to choose one novel to study from a list of ten, one…

A: Given that there are 10 novels, 15 poems, 7 short stories.  So she can choose a novel in 10 ways, a…

Q: A book has 625 pages, David has red 132 of the pages, Ana has red 134 of the pages and Lucas has red…

A: Total number of pages (T.P)=625 Number of pages read by David (DP)=132 Number of pages read by Ana…

Q: There are 21 animals on Farmer Cole's farm-all sheep and chickens. If the animals have a total of 56…

A: We can make it easier for you.

Q: A philanthropist, on his free day, seeks to visit an orphanage from the seven orphanages he supports…

A: Given information No of orphanages = 7 No of elementary school = 10 No of care homes = 8

Q: Mr. gomez bought 2 pairs of jeans each costing 45.50, and 1 pair of shoes. he spent a total amount…

A: Given data isMr. gomez bought 2 pairs of Jeans and 1 pair of shoesCost of each Jeans is 45.50Total…

Q: How many students participated in debate team?

A: It is given that Let, A represents number of students participated in maths club B represents number…

Q: Of the 100 families at a local farmer's market, 75 brought their kids with them, 25 brought their…

A:

Q: An architect designs a theater with 18 seats in the first row, 22 in the second, 26 in the third,…

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.