In a class of 40 students, 27 like calculus and 25 like chemistry. How many like both calculus and chemistry?

Q: A collection of 27 coins consisting of nickels and dimes amounts to $2.25. How many coins of each…

A: Let there are x nickels and (27-x) dimes. 1 nickel= $0.05  x nickels= 0.05x 1 dime= $0.10 (27-x)…

Q: The average age of the members of a country club is 54 years old. If there are ten 36-year-olds,…

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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: How many 3 3/4 wires can be cut from a spool of wire that is 100 inches long ? Will there be any…

A: Let total length of a wire is x inches. If we have to cut short wires each of length y inches, then…

Q: If 12% of 240 million adult Americans live in poverty, how many adult Americans live in poverty

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

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Q: When 18 is subtracted from six times a certain number, the result is − 42.What is the number?

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Q: Thirty-two men can reap a field in 18 days. If the field is to be reaped in 12 days, how many men…

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Q: There are five boys to every seven girls in introductory geology course . If there are 408 students…

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

A: Solution is given below:

Q: There are 374 students who are enrolled in an introductory geology course. If there are five boys to…

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Q: In a class of 40 students, 27 like Calculus and 25 like Chemistry. How many like both Calculus and…

A: Let x be the number of students who like both the subjects.

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

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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: There are 399 students who are enrolled in an introductory geology course. If there are five boys to…

A: Total number of students are 399. There are five boys to every two girls.

Q: Solve by the method of your choice:In how many ways can five airplanes line up for departure on a…

A: There are 5 different airplanes and 5 runways.

Q: Solve by the method of your choice: In how many ways can five airplanes line up for departure on a…

A: We have to find the ways for five airplanes line up for departure on a runway. There are five…

Q: The park rules require that on duty for every 50 people who visit the parl How many guards should be…

A: The park rules require that one security guard be on duty for every 50 people who visit the park.…

Q: In a science classroom, where labs are performed, students are seated at lab tables. If the teacher…

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Q: There are 364 first-grade pupils in Brown Prophet Elementary School. If there are 26 more girls than…

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Q: If Kevin shoots 50 baskets ever60 days, how many shots would Kevin take?

A: Given,         Kevin shoots 50 baskets every 60 days.

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

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Q: One Sunday, 681 people visited the zoo. Of these, 291 were men, 135 were women, and the rest were…

A: Total people visited the zoo = 681 Total men = 291 Total women = 135

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Given : No. of repertoire pieces = 25 A pianist plans to play 4 pieces i.e n = 4

Q: How many children and how many adults attended?

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Q: Apollo Spas services 242 hot tubs. If each hot tub needs 125 mL of muriatic acid, how many liters of…

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Q: If a machine that prints designs on T-shirts prints 500 shirts in 3 hours, how many hours will it…

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Q: A librarian noticed that 60% of seventh graders checked out fantasy books. About how many of 240…

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

Q: There are 420 students who enrolled in an introductory engineering course. If there are five boys to…

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

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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: In a parking lot with 600 Japanese, European and American cars, 50% are American. There are 30 fewer…

A: 50% cars are American so there are 300 American cars. Since there are 30 fewer Japanese cars so…

Q: There are 378 students who enrolled in an introductory engineering course. If there are four boys to…

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Q: Each roller coaster car holds 3 people. How many people seated in 2 cars? are

A: If an objects contains n number of things, then the total number of things in m of such objects is…

Q: A different class has 275 ​students, and 56.4​% of them are men. How many men are in the​ class?

A: The total number of students in a class is 275 out of which 56.4 % are men.

Q: In a school there are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics…

A: Let us denote M=Mathematics teacher  P=Physics teacher Given,  n( M or P ) = 20 n(M)=12 n(M and P)=4…

Q: In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak…

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Q: The 2410 women undergraduates at the college comprise 54% of all undergraduates. How many…

A: Here given that the 2410 women undergraduates at the college comprise 54% of all undergraduates. We…

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

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Q: If there are 104 participants in the math camp and the ratio of the number of men to women is 5:3.…

A: Ratio of x to y represented by x:y and x:y=xy and similarly y:x=yx . Suppose x:y=4:3 which imply…

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: In a grade with 164 students, there were 18 more girls than boys. How many girls were in the grade?

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Q: For a particular​ event, 789 tickets were sold for a total of ​$4098. If students paid ​$4 per…

A: Given - For a particular​ event, 789 tickets were sold for a total of ​$4098. If students paid $4…

Q: If 500 pizzas will be ordered this month... How many should be cheese? How many should be pepperoni…

A: The relative frequency of single topping pizza sales is shown in the given table.