A man decided to paint his house himself after office hours. He can paint 25 square meters per hour on the average. It takes him 15 minutes to prepare his materials and 20 minutes to keep the materials after painting. If there are 1000 square meters to be painted, how many days will it take him to paint his house if he devotes 2 hours each day?

Q: A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as…

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Q: A field provides grazing for 18 sheep for 8 days. How many days grazing would it provide for 24…

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Q: Two trucks leave a warehouse at the same time. One travels due south at an average speed of 58 miles…

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Q: In 10 minutes, a conveyor belt can move 1,000 bushels of corn into a storage bin. A smaller belt can…

A: A conveyor belt can move 1000 bushels of corn in 10 minutes.  A smaller belt can move 1000 bushels…

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: Saito and kevkev have to stuff and prepared 1000 hotdogs for a new marketing campaign. Saito can do…

A: Let Kevkev prepares hotdog alone in x hr. So, the rate of Kevkev   would be 1000x hotdogs/hr Saito…

Q: Lisa takes 4 hours to mow a lawn, while her cousin takes 3.2 hours. How long will it take them…

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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: A coffee house has 20 pounds of a coffee that sells for $4 per pound. How many pounds of a coffee…

A: Lets consider x represents amount of coffee that sells for $8 per pound be mixed with the 20 pounds…

Q: A student must leave for campus in half an hour or he will be late for class.​ Unfortunately, he is…

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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…

A: Given that Ian can finish the work in 20 hours.  So in 1 hour Ian does 1/20 work    Jack can finish…

Q: A mixture of 12% disinfectant solution is to be made from 10% and 20% disinfectant solutions. How…

A: Given:A mixture of 12% disinfectant solution is to be made from 10% and 20% disinfectant solutions.…

Q: . When a father, in a car, and his son, on a bicycle, work together to distribute the morning…

A: Let father takes x minutes to complete the route, then son takes x+21 minutes if works alone. both…

Q: Factory A produces twice as many cars per day as factory B. Factory C produces 300 cars more per day…

A: Let the number of cars produced by factory A be x. Let the number of cars produced by factory B be…

Q: The main printer in the  library can produce an average of 705 copies every hour. For every 37…

A: The solution is given as follows

Q: postal worker can sort a  worth of mail in 8 hours. With her supervisor helping, it takes 3 hours.…

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Q: Jamie and adam volunteer at a recycling sorting centre. Jamie sorts 3 bins in 2 hours and adam sorts…

A:

Q: In 1 year, a health food manufacturer produces and sells 240,000 cases of vitamins. It costs $2 to…

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Q: One painter can paint a house in 8 days, and a more experienced painter can paint the house in 3…

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Q: Carlo can wash and wax one car in 4 hours. Mark can do the same job in 6 hours. If they work…

A: Carlo can wash and wax one car in 4 hours. Mark can do the same job in 6 hours. If they work…

Q: Jerry can frame a room in 1 hour, while jake takes 4 hours. How long would it take for them to frame…

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Q: Last year, Jim had twice as many acres as Fred but over the course of the year Jim sold 300 acres…

A: topic - linear equation in one variable

Q: Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is…

A: Each bach of cookie mix needs 0.4 cups of sugar.  4 baches of cookie needs = 4 x 0.4 = 1.6

Q: A chemist needs to mix a 12% acid solution with a 20% acid solution to obtain 160 ounces of a 15%…

A: Given: A chemist needs to mix a 12% acid solution with a 20% acid solution to obtain 160 ounces of a…

Q: It takes a girl 45 minutes to deliver the newspapers on her route; however, if her brother helps, it…

A: A girl takes  45 minutes to deliver the newspapers on her route. If her brother helps it takes them…

Q: Two​ high-speed ferries leave at the same time from a city to go to the same island. The first​…

A: Given, Velocity of first ferry= 30 miles/hour Velocity of second ferry= 25 miles/hour Distance (d)=…

Q: One bag of potting soil contains 8 quarts of soil. How many clay pots can be filled from one bag of…

A: We have to find that how many clay pots can be filled from one bag of potting soil. Given - 1 bag of…

Q: A man decided to paint his house himself after office hours. He can paint 25 sq.m. per hour on the…

A: A man can paint 25 sq.m per hour, there is 900 sq.m space to be painted. Therefore the time required…

Q: The fabric store ordered 5 times as many pairs of scissors as seam rippers. If they ordered a total…

A: Topic = Algebra let the number of seam rippers  ordered =x then the number of pairs of scissors…

Q: It takes one team 9 days less than another team to paint a house. If the teams work together, it…

A: Time and Work question

Q: EX Ana can paint their bedroom in 4 hours, while her older sister, Carla, can paint it in 3 hours.…

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Q: Matt has twice as many stickers as David. How many stickers must Matt give David so that they will…

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Q: mike, an experienced bricklayer, can build a wall in 3 hours, while his son, who is learning, can do…

A: Given: The experienced bricklayer can build a wall in 3 hours. His son can do the job in 6 hours

Q: A cash register contains only quarters and twenty dollar bills. It contains three times as many…

A: Given: A cash register contains only quarters and twenty dollar bills. Also It contains three times…

Q: Monica, still, takes one hour to wash a car and Bill takes two hours to wash a car.  If they work…

A: Let Monica and Bill can complete the work in x hours if they work together.Washing a car can be…

Q: Andrei has 3 pizza stores and wants to dramatically expand his franchise nationwide. If the number…

A: If a1,a2,a3,a4,...............     are in Geometric Progression (GP) series,Then, nth term= a.(r)n-1…

Q: Two gardeners can do the weekly yard maintenance in 8 minutes if they work together. The older…

A:

Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular…

A: Given,

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

A:

Q: A chemist needs to mix an 18% acid solution with a 45% acid solution to obtain 12 liters of a 36%…

A: Consider x is the amount of 18% solution, that is 18% of x =18100×x=0.18x So according to the…

Q: One printing machine can run the necessary copies for the daily circulation of a newspaper in 5…

A:

Q: Sam had two boxes of cookies. To have equal number of cookies in each box, Sam had to transfer 27…

A: Let x be the number of cookies in box A and y be the number of cookies in box B initially. We have…

Q: A piggy bank contains only nickels, dimes, and quarters. If there are 76 coins worth $8.50, and…

A:

Q: Kalya has the capacity to record 4 minutes of video on her cellular phone. She currently has…

A: Kayla has the capacity to record 4 minutes of video on her cellular phone. She currently has 312…

Q: Fifteen pounds of trail mix are made by mixing 2 pounds of raisins worth $6 per pound with peanuts…

A: Let ‘x’ pounds of peanut and ‘y’ pounds of chocolate coated candies be present in the 15 pound trail…

Q: For​ exercise, Mae jogs 2 miles then walks an additional 4 miles. If her jogging speed is 4.5 miles…

A: Given  Mae jogs 2 miles then walks an additional 4 miles. Her jogging speed is 4.5 miles per hour…

Q: A mixture of 16% disinfectant solution is to be made from 14% and 22% disinfectant solutions. How…

A: Let x gallon of 14% were used. So, (16-x) gallons of 22% are needed. Because total amount is 16…

Q: Daria can week the garden in 7 hours, while her mother can do it in 3 hours. How long will it take…

A:

Q: Lance produces 20 more than 4 times what Jacob can produce in one day. If Lance's total production…

A: Assume jacob's one day production be x. So, Lance one day production will be, 20+4x

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.