Suppose Albers Elementary School has 39 teachers and Bothel Elementary School has 98 teachers. If the total number of teachers at Albers and Bothel combined is 122, how many teachers teach at both schools?

Q: If women represent 53% of a town, and there are 9,805 women in the town, how many people are in the…

A: Let there are total X people in the town.

Q: From a club of 25 people, in how many ways can a group of six members be selected to attend a​…

A: In how many ways a group of six members can be selected from a club of 25 people.

Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: 4. If your bag has 60 Smarties, and 30% of the Smarties are purple, how many purple Smarties do you…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: A softball league has 13 teams. If every team must play every other team once in the first round of…

A: We are given that there are 13 teams and every team needs to play against every other team. For exam…

Q: A manufacturer knows from experience that for every 100 widgets that are produced at her factory, 3…

A: Given Information- Out of every 100 widgets produced 3 will be defective. Using Unitary method We…

Q: Out of a group of eight students serving on the Student Government Association, how many different…

A:

Q: Out of the 3,553 visitors at an art exhibition, 1,312 were men, 1,211 were women, and the rest were…

A:

Q: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

A: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

Q: A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on the next layer, 3 caps on the…

A: So basically the number of bottle caps in the next layer is just one more than the previous layer.…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she…

A:

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

A: She wants to sell 200 sets of dishes of which one design cost is $25per set and another cost $45 per…

Q: There are four boys to every three girls in an introductory geology course. If there are 392…

A: First we let the ratio be 4x/3x . And total is 392.It means 4x+3x=392 .

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: If an island's only residents are penguins and bears, and if there are 22 heads and 52 feet on the…

A:

Q: If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

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: In a school with 300 students, 110 live with their Biological father and 250 live with their…

A:

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: For a particular​ event, 708 tickets were sold for a total of ​$4464. If students paid ​$5 per…

A:

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

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

A:

Q: A company recently downsized its number of employees by 35%. If there are still 78 employees, how…

A: Let the number of employees prior to layoffs be x. 35% layoff occurred which means 35% of x number…

Q: How many more trees are in Duck Park and Ross Park than in Sawyer Park?

A: Given,

Q: If the US population was 282.2 million in 2000, what percentage of the population was incarcerated…

A: Answer:

Q: If 80 trays are needed to pack 720 eggs in batches of 14 how many trays are needed if the eggs are…

A: Given  The 80 trays are needed to pack 720 eggs in batches of 14 .

Q: For a particular event, 796 tickets were sold for a total of $3120. If studnets paid $3 per ticket…

A: Let, The number of student tickets sold is x. So, Total cost = $3x The number of non-student tickets…

Q: if 1 cup gives 20 servings, and 1/2 cup gives 40 servings, how do i figure out how many servings 3/4…

A:

Q: If a particular brand of coffee is 11.7% caffeine. How many 5  oz cups of coffee could you make…

A: Given : Proportion of Caffeine in particular brand of coffee  = 0.117 We have been provided cups of…

Q: the difference Between the number of arrangements using all the letters informed and the number of…

A: Given letter is SALADS.

Q: A European food importer, Mateski Products, imports 25% of its vinegars from France, 40% from Italy,…

A: The base amount is the value on which percentage depends. Rate is the percentage rate which has to…

Q: Suppose that College A has four-fifths the enrollment of College B. (i) If College B has 2000…

A:

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

A:

Q: A softball league has twelve teams. If every team must play every other team once in the first round…

A: Topic: Permutations and combination

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: Five-eighths of the students at Salem State College live in dormitories. If 6000 students at the…

A: Simplification

Q: A mother duck lines her 12 ducklings up behind her. In how many ways can the ducklings line up?

A:

Q: If 120 more people showed up to Shakespeare in the Park than are here now, there would be 9 times as…

A:

Q: A luxury liner has 20 rooms in the upper deck. In how many ways can three passengers be assigned to…

A: The number of room in the upper deck is 20. The number of passenger is 3.

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: If a school secretary copies 168 math worksheets for a class of 28 students, how many math…

A:

Q: In a house of 10 people, how many ways can a squad of 4 people be arranged?

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

Q: Suppose Albers Elementary School has 38 teachers and Bothel Elementary School has 90 teachers. If 12…

A: Given: Total teachers in Alvers Elementary School =38 Total teachers in Bothel Elementary School =…

Q: If 16 new teachers are to be divided among 4 schools, how many divisions are possible? What if each…

A: Solution: Given data 16 = new Teachers 4 = schools To find: 1.How many division are possible 2.If…

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: There are 377 students who are enrolled in an introductory geology course. If there are eight boys…

A:

Q: If 135 students love their English class, and 80% more love their math class, then how many students…

A: Given that  If 135 students love their English class 80% more love their math class,  To find the…

Q: In a group of 65 ice cream lovers, 45 like Cherry Garcia, 34 like Chocolate Therapy and 18 like…

A:

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…