James had 1/8 as many pencils as Mark. When Mark gave half of his pencils to James, he then had 12 fewer pencils than he had. How many pencils did Mark have at first?

Q: How much of a 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to…

A: Let x gallons of 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to…

Q: How many liters of a 60% acid solution must be added to 14 liters of a 10% acid solution to produce…

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Q: Michael has 16 CDs. This is four more than twice the amount thatKathleen has. How many CDs does…

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Q: A recipe for cupcakes yields 1 1/2 dozen cupcakes. By how much should the ingredients be multiplied…

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Q: there are 4x+5 girls in classroom. If each of them is asked to bring 5x2+6x-3 pices of plastic cups,…

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Q: Ian can remodel a kitchen in 20 hours and Jack can do the same job in 15hours. If they work…

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A: Let amount of 2% solution be x and amount of 5% be y. As we know we have to make 100 liters of…

Q: How many litres of a 10% alcohol solution must be mixed with 10 litres of a 34% alcohol solution to…

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A: Let x denote Gallon. So, gallons of a 6% salt solution are calculated as (x gal) (6%).

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Q: At a certain stationery shop, the cost of each ruler is 2.5 times the cost of each sharpener. Anil…

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Q: Emily has a total of two hundred eighty-two pennies, nickels, and quarters. She has three and a half…

A: Given, Total Number of coins= 282 Let the number of pennies be x. Let the number of quarters be y.…

Q: For the month of December, company A's stock decreased from $50 to $43 per share and company B's…

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Q: How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are…

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

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Q: Mr Teo had thrice as many apples as Mr Chew. After Mr Teo had sold 154 apples and Mr Chew had sold…

A: We want to find number of apples having Mr Teo and Mr Chew.

Q: How many pounds of lean hamburger that is 7% fat must be mixed with 12 pounds of ground chuck that…

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Q: At the start of last year, Annie had 14 more horses than Bob. Over the course of the year, Annie's…

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Q: With x people on board, a South African airline makes a profit of (960−3x) rands per person for a…

A: Given problem:- With x people on board, a South African airline makes a profit of (960−3x) rands per…

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Q: A bag contains nickels, dimes and quarters having a value of S3.75. If there are 40 coins in all and…

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Q: A boy has $2.25 in nickels and dimes. If there are twice as many dimes asnickels, how many of each…

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Q: A boy has enough money to buy 40 pens. If each pen costs 50 paise less, he could buy four more pens…

A: Let the original price of each pen be x.

Q: 3 of his money on 18 cakes and 21 toy robots. 5 Jeffery spent The cost of a toy robot is 2 times…

A: We have to find out

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Q: How many gallons of a 4% salt solution must be mixed with 75 gallons of a 6% solution to obtain a 5%…

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Q: Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and five…

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Q: A chemist must mix 10L of a 40%acid solution with some 70% solution to get a 50% solution. How much…

A: A chemist must mix 10L of a 40%acid solution with some 70% solution to get a 50% solution. Let x L…

Q: marcus has 318 red and yellow marbles. the number of yellow marbles is 3 'more than double the red…

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Q: Thus, Dani's current age is

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Q: Jane has invested $18,000 and gets an income of $1470 after a year. If a part of the $18,000 earns…

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Q: Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes…

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Q: A third of Arun's marks in mathematics exceeds a half of his marks in english by 30 . if he got 240…

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Q: How much of an elixir that is 3% medication should a pharmacist mix with 10mL of an elixir that is…

A: Consider the given question,Let x mL of an elixir that is 3% medication should a pharmacist mix with…

Q: How many packages of diapers can you buy with $40 if one package costs $8?

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Q: Brown has the same number of brothers as sisters. His sister Sylvia as twice as many brothers as…

A: Let x be the total number of brothers and y be the total number of sisters are in the…

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.