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Bessy and Bob algebra word problem
Bessy has 6 times as much money as Bob. But when each earns $6, Bessy will have 3 times as much money as Bob. How much does each have before and after …
Fencing a rectangular garden word problem
A farmer has 260 meters of fencing and wants to enclose a rectangular area of 4200 square meters. what dimensions should he use?
Area = length × width …
Math problem about age
Arvind is eight years older than his sister. In three years, he will be twice as old as his sister. how old are they are now?
Solution
Let x be …
Applications: Number problems and consecutive integers
Sum of 3 consecutive odd integers is -3, what are the integers?
Solution
A number is odd if it has the following format: 2n + 1
Let 2n + 1 be …
Average age word problem
Average age of Dipu and Apu is 22 years. Average age of Dipu and Tipu is 24 years. Age of Dipu is 21 years. What are the ages of Apu, and tipu ?
…
Sharing money and equations
A certain value of money will be distributed among 24 students. If 6 students don't come each child will receive 300 dollars more money. Find the amount …
Candies and fractions
Ricky, Carl and Jerome have a total of n candies. Ricky ate 1/4 of the candies. Carl ate 1/3 of the remaining candies. Jerome ate 1/5 of the remaining …
Number of pencils in each box problem
Sergio had 8 colored pencils. He bought 3 more boxes of colored pencils. Sergio now has 35 colored pencils. If each box had the same number of pencils, …
Inequality and field trip
Mrs. william is deciding between two field tips for her class. The science center charges $135 plus $3 per student. The dino discovery museum simply charges …
Phone service and inequality
For his phone service, Ryan pays a monthly fee of $13.00, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is …
Find regular hourly rate
Alice, who is paid time and a half for hours in excess of 40 hours, had gross weekly wages of $667 for 52 hours worked. what is her regular hourly rate? …
Find length and width of a triangle
The Phillips family wants to fence their backyard. They know the yard has a perimeter of 24 meters and an area of 32 square meters. What is the yard's …
System of linear equations word problem using ratios
A man bought 66 kg of 3 types of fruits namely bananas, oranges and apples. The ratio of bananas to oranges is 4:5 and that of oranges to apples is 2:3 …
Find water left in a tank using arithmetic sequences
A water tank is emptied at a constant rate. Initially, 36,000 gallons of water were in the tank. A the end of five hours, 16,000 gallons remained. How …
Marble problem and algebra Not rated yet
There are two bags. Each bag contains an unknown number of marbles. If 100 of the marbles in the first bag are placed in the second bag, the number in …
Survey and intersection of three sets Not rated yet
In a survey of 400 students of a college it was found that 240 study mathematics, 180 study statistics and 140 study accounts, 80 study mathematics and …
Solve a combination word problem Not rated yet
There are 13 qualified applicants for 4 trainee positions in a fast food management program. How many different groups of trainees can be selected?
…
Dollar bills and system of two linear equations Not rated yet
“A student has some $1 bills and $5 bills in his wallet. He has a total of 15 bills that are worth $47. How many of each type of bill does he have? ”
…
A Little Tricky Algebra Word Problem Not rated yet
Navin spent 25% of it and gave 2/5 of the remainder to his brother. He then spent the remainder amount on 9 story books. If each story book costs 12, how …
Mystery 2-digit numbers and systems of linear equations in three variables Not rated yet
2-digit numbers
There are three boxes to be added together to get 87.
The first box is ten more than the second and the
second is ten more than …
How to calculate the population growth using an exponential function Not rated yet
The population of a town with an initial population of 60,000 grows at a rate of 2.5% per year. What is population in 5 years? In 10 years? How many years …
Percentage and yearly income Not rated yet
A man spends 20% of his income in food, 15% in clothes, 15% in house rent and 30% in miscellaneous. Find his yearly income if he saves Rs 2500 per months. …
Calculate the price of 3 pens without discount Not rated yet
A stationery store sells a dozen ballpoints pens for $3.84, which represents a 20% discount from the price charged when a dozen pens are bought individually. …
Distance from the mountain Not rated yet
Jane drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Jane drove home, there was no traffic …
volume of a cone and a precious substance Not rated yet
A cone shaped container with a height of 15 feet and radius of 5 feet is filled with a substance that is worth $25/ft 3 . Find the total value of the substance …
Mixture word problem with sand and soil Not rated yet
2 m 3 of soil containing 35% sand was mixed into 6 m 3 of soil containing 15% sand. What is the sand content of the mixture?
Let x% be the amount …
Dr. Abdullah Kamran Soomro Not rated yet
PROBLEM
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
SOLUTION
Let "x" be how much …
A Photographer and Math Not rated yet
A photographer studio charges a sitting fee of $50 and $10 per enlargement ordered. Write an equation to represent the number of enlargements ordered, …
Ages of 5 Children Born at the Intervals of 3 Years Each Not rated yet
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Let x be the age of the youngest …
Phone card word problem Not rated yet
Elsa purchased a phone card for $25. Long distance cost .11 a minute using this card. Elsa used her card only once to make a long distance call. If the …
Consecutive odd integers word problem Not rated yet
If the first and third of three odd consecutive integers are added, the result is 87 less than five times the second integer. Find the third integer.
…
Gas tank word problem Not rated yet
The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8100 gallons of gas filled the station's tank. After that the tanker …
Solve word problem Not rated yet
If a number is added to the numerator of 11/64 and twice the number is added to the denominator of 11/64, the resulting fraction is equivalent to 1/5. …
Calculate the cost price of a house using the sell price and the loss percent Not rated yet
If a house is sold for 187,000 there is a loss of 15% on the cost price of the house.
1) Find the cost price of the house
2) For how much should …
A linear equation word problem in one variable Not rated yet
Liz, Kyle, and Sarah collected empty cans for a recycling drive. Kyle collected 12 more cans than Liz. Sarah collected 2 times as many cans as Liz. If …
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