An artist mixes paint to make new colors. She uses 13 cup of red paint and 13 cup of yellow paint to make a batch of orange paint. If the artist has 2 cups of red paint available and 3 cups of yellow paint available, how many batches of orange paint can she make?

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: A scientist mixes water (containing no salt) with a solution that contains 45% salt. She wants to…

A:

Q: A mixture of 18 % disinfectant solution is to be made from 16 % and 23 % disinfectant solutions. How…

A:

Q: The football team has an orange water jug and a blue water jug. The orange container is full with…

A: Given information: The football team has an orange water jug and a blue water jug. Volume of water…

Q: A scientist mixes water (containing no salt) with a solution that contains 45% salt. She wants to…

A:

Q: A chemist wishes to make 100 liters of 3% acid solution by mixing a 2% solution with a 5% solution.…

A: A chemist wishes to make 100 L of an 3% acid solution by mixing a 2% acid solution and a 5% acid…

Q: How many gallons of a 3% salt solution must be mixed with a 7% salt solution to obtain 100 gallons…

A: We will solve the following.

Q: Jan has 210 acres of farm land that she wants to plant with either corn or soybeans. If 100 bushels…

A: Here we have to find that the how many acres of each should Jan plant if she wants the same amount…

Q: Two friends have built a lemonade stand, and they plan to start out by selling 24 liters of lemonade…

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

A:

Q: A biologist has two brine solutions, one containing 5% salt and another containing 20% salt. How…

A: We can solve the problem by equating both side according to the given criteria.

Q: In one week, an office manager booked 55 tickets, divided among three airlines. He booked 7 more…

A: We will solve the question number 20 in the following step.

Q: You have 6 liters of a pineapple juice blend that has 50% pure pineapple juice. How many liters of…

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Q: Mary Jo spends $2,220 to buy stock in two companies. She pays $22 a share to one of the companies…

A:

Q: A man has 19 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: Algebra problem

Q: Peter and Dan shared some beads. After Peter gave away of his beads and Dan gave away - of his…

A: It is problem of single variable

Q: A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive…

A: Given that A chemical company mixes pure water with their premium antifreeze solution to create an…

Q: A farmer has two types of milk, one that is 24% butterfat and another which is 18% butterfat. How…

A:

Q: How many gallons of 25% alcohol solution and 45% solution must be mixed together to get 7 gallons of…

A: To determine the gallons of 25% alcohol solution and gallons of 45% alcohol solution must be…

Q: Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts…

A:

Q: Faye takes a bath every day, and each time she uses 39 gallons of water. Over 6 days, Faye also uses…

A: Please find the total number of gallon of water Faye used in 6 days to take bath and then add it…

Q: A scientist mixes water (containing no salt) with a solution that contains 20% salt. She wants to…

A: According to the question: Let, “x” = ounces of water used and “y” = ounces of solution used Then,…

Q: Mr Lee bought a total of 280 peanut and strawberry donuts. He gave away of the peanut donuts and 2…

A: To solve the equation of the form xa=b-xc , use the below technique where a,c∈ℝ but a,c≠0 .…

Q: You have a container of 42% acid solution, a container of 92% acid solution, and a 2 liters of pure…

A:

Q: A woman made a deposit of ​$287 . If her deposit consisted of 83   ​bills, some of them…

A: topic- linear equation in two variables

Q: A theatre contains 432 seats and the ticket prices for a recent play were $57 for adults and $27 for…

A:

Q: Jan has 120 acres of farm land that she wants to plant with either corn or soybeans. If 100 bushels…

A:

Q: If Julio has 14 quarters and nickels in his pocket, and they have a combined value of 230 cents, how…

A: Given, Julio has  14 quarters and nickels in his pocket.  combined value of quarters and nickels is…

Q: How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 15​% antifreeze to…

A:

Q: A theatre contains 492 seats and the ticket prices for a recent play were $57 for adults and $21 for…

A: Gievn that  Total number of seats in a theatre=492 Ticket price for adults=$57 Ticket price for…

Q: If 102 people attend a concert and ticket for adult cost $3.5 while ticket for children cost $3 and…

A:

Q: A boy has as many brothers as he has sisters. Each of his sisters has twice as many brothers as she…

A: Given that a family has each girl as many as brothers as sisters and each boy have twice as many…

Q: farmer has 99 tons of feed for 500 cattle. After 15 days, 9 tons of feed are left. On average, how…

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Q: A volleyball team sold raffle tickets to raise money for the upcoming season. They sold three…

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

A:

Q: A shopkeeper has enough money to buy 40 books, each costing ₹125.How many books he can buy if he…

A: Given Cost of each book = ₹125 A shopkeeper has enough money to buy 40 books

Q: a scientist mixes water (containing no salt) with a solution that contains 20% salt. she wants to…

A: Given:  A scientist mixes water (containing no salt) with a solution that contains 20% salt. she…

Q: Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 240…

A: Given, Paul has 12 coins in his pocket, consisting entirely of dimes and quarters and he has a total…

Q: The Aoki family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9…

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Q: Erin has a total of 20 bills, all of which are $10 bills and $20 bills. If her $10 bills were $20…

A:

Q: A 40% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 150…

A: GIVEN: A 40% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get…

Q: A boy has three more nickels than dimes. If he were to spend three of his nickels as dimes, he would…

A:

Q: Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 30 quarts…

A: quarts 4% of butterfat milk and 1% butterfat milk should be mixed to yield 30 quarts of 2% butterfat…

Q: A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive…

A: Let they will need x  gallons of premium antifreeze solution.So they must have (170-x) gallons of…

Q: Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 45 quarts…

A:

Q: In a 36-minute gym period, 24 boys want to play basketball. If only 10 can play at the same time,…

A: In this question we have to find how many minutes each boy play.

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

A:

Q: One batch of meatloaf contains 2 pounds of beef and ½ cup of breadcrumbs. How many pounds of beef…

A:

Q: Katie has a collection of nickels, dimes and quarters with a total value of $6.35. There are 3 more…

A: Let x be the no. of nickels  Katie has.Then according to question ,no. of dimes = 3+xno. of quarters…

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.