Montgomery College has a 60-piece band and a 38-piece orchestra. If 15 people are members of both the band and the orchestra, can the band and orchestra travel in two 40-passenger buses? Yes or No?

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: If 102 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2…

A: We can solve this problem by creating 2 equation to represent the info and solve it.

Q: There were 130 faculty at a conference. If there were 18 more women than men attending, how many of…

A: let  number of men =x and  number of women =y

Q: An international company has 19,700 employees in one country. If this represents 17.3% of the…

A:

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

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: At a football game, 43% of people attending were supporting the home team, while 57% were supporting…

A: Given query is to find the number of people supporting the home team.

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: An employment agency specializing in temporary construction help pays heavy equipment operators $128…

A: Given, Pay of heavy equipment operators = $ 128 per day Pay of general laborers = $ 94 per day If…

Q: The restaurant La Poutine smiling can accommodate 74 guests with its small counter and its 21…

A: There are 21 tables and a small counter in the restaurant that accommodate 74 guests. The tables are…

Q: In a certain year, there were 82 female officials in Congress, which is comprised of the House of…

A: Let there were x female senators. Since, there were 50 more female members of the house of…

Q: How many vans were there?

A:

Q: 9 people will attend a lunch and 3 of juice should be provided per person, how many total cans of…

A: given , 9 people will attend a lunch and 3 of juice should be provided per person. we need to find…

Q: If 95 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.5…

A: We can solve as follows

Q: If 121 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5…

A:

Q: my favorite bagel shop has 12 bagels, 10 types of cream cheese, and I can choose to have a toasted…

A: There are 12 types of bagels. 10 types of cream cheese. And 2 types of toast.

Q: A s'more requires 2 graham cracker squares, 1 marshmallow, and 3 chocolate pieces. If an entire…

A: A s'more requires 2 "g c squares", 1 marshmallow, and 3 chocolate pieces. Now, we have 8 chocolate…

Q: There was 2874 staff in a company. If there were 358 fewer women than men, how many men were in the…

A:

Q: If 117 people attend a concert and tickets for adults cost $2.75 while tickets for children cost…

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: A person who doesn't like to be cold in the summertime has seven (7) pairs of flip flops, four (4)…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: If bailey has 7 bananas and she got 2 more how Many does she have in total?

A: Given, Initially  bailey has 7 bananas  Then She got 2 more bananas We have to find the Total number…

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: Salim sells fax machines that come in Standard and Enhanced models. The Standard model sells for…

A:

Q: There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9…

A: We can solve this

Q: If 122 people attend a concert and tickets for adults cost $3.5 while tickets for children cost…

A:

Q: If 121 people attend a concert and tickets for adults cost $4 while tickets for children cost $3 and…

A: We have to find the number of adults and number of children who went to the concert.

Q: The number of ways 3 nurses and 4 engineers can be seated on a bench with the nurses seated together…

A: Number of nurses = 3 Number of engineers = 4

Q: at the billy restaurant, they have 13 soup, 6 appetizer, 8 salad, 23 entree, and 25 dessert options.…

A: We use combination to find unique course meals .

Q: An employment agency specializing in temporary construction help pays heavy equipment operators $139…

A:

Q: The senior classes at High School A and High School B planned separate trips to the county fair. The…

A: Every van had the same number of students in it as did the buses. Let x is the number of students in…

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

A:

Q: From a group of 8 junior employees and 4 senior employees, how many different teams of four can be…

A:

Q: An airline that flies from Los Angeles to Albuquerque with a stopover in Phoenix charges a fare of…

A: To find: The number of passenger got off the plane in phoenix. Given: The total number of passenger…

Q: The salaries of the President and Vice-President were a total of $576,300 a year. If the President…

A: Let salaries of president is x, and salaries of vice president is y. Given total  salaries of…

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: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A: Given (1) Gummy candy packets come in  sizes=5  (2)packets of licorice nibs come in sizes= 4

Q: If two pizzas and four salads cost $46, and five pizzas and nine salads cost $109, what is the price…

A: We have to find the price of the salad. This problem can be solved by making equations.

Q: If 104 people attend a concert and tickets for adults cost $2.5 while tickets for children cost…

A:

Q: A car dealership had 42 cars, and sold 19 of them. How many cars does the store have now?

A:

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A: First of all, Professor Murphy has to select between gummy candy and licorice nibs.

Q: Ms Cruz asked Pearl to call two more of her classmates to help her carry their textbooks in class,…

A: Combination: It is a method used to select number of items form a collection It is denoted by Crn…

Q: A preschool field trip required 7 buses. Thirteen children rode in cars with their parents and the…

A: Given the query is to find the number of students on each bus.

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: The admission fee at an amusement park is $2.25 for children and $6.00 for adults. On a certain day,…

A: To determine the number of children and adults.

Q: In a certain year, there were 88 female officials in Congress, which is comprised of the House of…

A: Let x represents the female senators. Since, there were 64 more female members of the house of…

Q: If 8 shirts and 8 sweaters cost $224, and 6 shirts and 7 sweaters cost $186, what is the cost of one…

A: Let us take the cost of the shirt as x and the cost of the sweaters as y. Then we can form two…

Q: While selecting candy for students in his class, Professor Murphy must choose between gummy candy…

A:

Q: At Piedmont High School, 3 out of 8 students are athletes. If there are 1280 students at the school,…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.