The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 4 buses with 141 students. High School B rented and filled 1 van and 1 bus with 42 students. Every van had the same number of students in it as did the buses. Find the number of students in each van.

Q: A woman bought some large frames for $14  each and some small frames for $6 each at a closeout sale.…

A: Let the number of large frames be x and the number of small frames be y, thenAccording to question,…

Q: Ivy Creek has 1,328 students. If all of the students at Ivy Creek are going to go on a field trip…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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: 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: In one Ivy Tech region the number of students in Math 136 is 20% more than the number of students in…

A: According to the given information, Let the number of students in math123 be ‘x’ So, according to…

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

A:

Q: The infamous Gillette ad has 1.55 million “dislikes” on YouTube, making it the 26th most disliked…

A:

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: In a certain year, there were 86 female officials in Congress, which is comprised of the House of…

A:

Q: Sarah has to put an outfit on a mannequin every day at her job. if there are 5 shirts, 4 pants,  and…

A: Number of shirts= 5 Number of pants= 4 Number of hats= 8

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: A metallurgist has one alloy containing 26% aluminum and another containing 60% aluminum. How many…

A: Given: A metallurgist has one alloy containing 26% aluminum. and another containing 60% aluminum.…

Q: Cody and Paul had some button magnets. If Cody gave Paul 7 button magnets. He would 3/4 as many…

A: First we will form the equations corresponding to the given statements then solving these equations…

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: A group of 100 people, some students and some faculty, attended a museum opening. Each student paid…

A:

Q: In his curry chicken recipe, Reynold uses 5 cups of curry sauce for every 7 people. How many cups of…

A:

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

A: Given data can be written as in equation form.  Let van is x and bus is y.  9x+2y=273 x+12y=737. By…

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

A:

Q: David has to choose 5 chocolates from 6 different dark chocolates, 4 different white chocolates and…

A: From the given information,   David has to choose 5 chocolates from 6 different dark chocolates, 4…

Q: Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. If he…

A:

Q: Montgomery College has a 60-piece band and a 38-piece orchestra. If 15 people are members of both…

A: Let A denotes the set of members of band and B denotes the set of members of Orchestra. Given the…

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: Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters,…

A: We can find the answer as below.

Q: When an ice cream shop was founded, it made 43 different flavors of ice cream. If you had a choice…

A: Topic = Permutation and combination

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

A:

Q: When an ice cream shop was founded, it made 22 different flavors of ice cream. If you had a choice…

A: Here in this given problem no of different flavors of ice cream=22 No of ice cream can be made from…

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 woman bought some large frames for ​$16 each and some small frames for ​$5 each at a closeout…

A:

Q: She wants to divide the class into teams of the same size, where each team has the same number of…

A: Given data:   The total number of girls is G=25. The total number of boys is B=35.   The factors for…

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

A:

Q: Within the first 4 months of the year, Vicky was able to serve the following number of burgers: 370,…

A:

Q: A woman bought some large frames for $18 each and some small frames for $6 each at a closeout sale.…

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: If 14% of the people in the school are 210 people, how many people are in the school?

A: 14% of the people in the school are 210  then find how many people means 100%

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

A:

Q: How many outfits could you make if you had 6 pants, 7 shirtsand 4 pairs of shoes to choose from?

A: Given he had 6 pants, 7 shirts and 4 pairs of shoesHe can chose 1 from the 6 pants and 1 from the 7…

Q: Laney prints 336 pictures for a scrapbook and 126 of them are with Lily. If each page has about 12…

A: Laney prints 336 pictures for a scrapbook and 126 of them are with Lily.

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: ill has 11 shirts and 6 pairs of pants. Assuming that everything matches, how many different outfits…

A: Answer - Jill has 11 shirts and 6 pairs of pants. Assuming that everything matches,…

Q: Juan owns 4 pairs of pants, 6 shirts, 1 ties, and 3 jackets. How many different outfits can he wear…

A:

Q: Toby and Rocco have 30 toys between them. If Toby has 11 of the toys, how many toys does Rocco have?…

A: The quinary number system uses 5 as the base. The digits of this number system are: 0, 1, 2, 3, 4.…

Q: Ms. Daws has retired to a farm. She has 22 animals, both chickens and pigs. If she has 46 legs, how…

A: Explanation of the answer is as follows

Q: A roofer charged $60 for the first hour of a service and $20 per hour for each additional hour.

A:

Q: A woman bought some large frames for $13 each and some small frames for $5 each at a closeout sale.…

A:

Q: The manager of a garden store ordered two different kinds of marigoldseeds for her display. The…

A: Let he bought x of first type and (x+50) of the second type. So, total cost is: 1x + 1.26(x+50)=402…

Q: All of the 4th grade teachers and students from Cambridge went on a field trip to an art museum.…

A:

Q: In July​ 2012, the national debt of a country was 15.890*1012 dollars and the population was…

A: Total debt of country= $ 15.890x1012Total population = 3.133x108

Q: A woman bought some large frames for ​$13 each and some small frames for ​$9 each at a closeout…

A: detailed solution is given below

Q: One month Hamdah rented 3 movies and 5 video games for a total of $35, The next month she rented 6…

A: See the attachment

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.