Number Sense Word Problems
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Sixth Grade: Number Sense Word Problems
Chuck`s class is going on a fieldtrip
Chuck's class is going on a fieldtrip this next Thursday. There are 95 students going on the field trip, and each one is paying their teacher $3.75...
Mr. Jenkins can dig a ditch
Mr. Jenkins can dig a ditch in one hour less then his son. Working together, they can do the job in 2\3 hour. How long does it take for ...
A marketing manager travels
A marketing manager travels 1080 miles in a corporate jet and then an additional 240 miles by car. If the car ride takes one hour longer than the jet ride takes, and if the rate of the jet is 6 times the rate of the ...
simplifying rational expressions
Mario can do the work in X hours. Luigi takes one more hour than Mario to do the work. Together they finish the work in 100 ...
Ben is making wooden toys
Ben is making wooden toys for the next arts and crafts sale. Each toy costs Ben $1.80 to make. If he sells the toys for $3.00 each, how many would he have to sell to make a profit of exactly $36...
A driver averaged 50 miles per hour
A driver averaged 50 miles per hour on the round trip between Baltimore and Philadelphia, 100 miles away. The average speeds for going and returning were x and y miles per hour, respectively. Show that
y=25x/(x-25)
A grade school is taking a trip
A grade school is taking a trip to the zoo. A parent group of 6 people is responsible for putting together 225 box lunches for the trip. The group hopes to recruit extra people for the task. Write an equation that gives the average number "n" of box lunches made per person as a function of the number "p" of parents that can come in and help complete the task. Then graph the ...
I bought 3 books from bookstore
I bought 3 books from bookstore for a total of 148 dollars. A Chemistry Book, Math book, and Notebook. The Chemistry book was One and half times more than the Math book and notebook combine. The notebook was 2 ...
A biologist is researching a newly-discovered species
A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.)
The tallest structure in the U.S.
The tallest structure in the U.S. is a TV tower in Blanchard, North Dakota. Its height is 2063 feet. A 2382-foot length of wire is to be used as a guy wire attached to the top of the ...
Melanie can paint a certain barn
Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2 x days. Write a rational expression for the fraction of the barn tht they complete in one day by working together. Evaluate the expression for x =5
Amirah is babysitting
Amirah is babysitting her neighbor's cats for an hour a day. She earned $100 in 4 ...
A lawnmower uses
A lawnmower uses 0.6 of a gallon of gasoline per hour. How many gallons of gasoline will be used if it takes 2...
simplifying radical expressions
Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=Cr
-2, where C is a constant, and r is the distance that the object is from the center of the earth.
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level)
ii. The top of Mt McKinley (20,320 feet above sea level)
Boyle`s Law, applied to the amount of gas
Boyle's Law, applied to the amount of gas used in a given experiment at a constant temperature, states that pV = 240 where p is pressure measured in kilopascals and V is volume measured in cubic centimeters. If a decrease in pressure of 1 kPa produces an increase in volume of 20 cm^3...
Billy wants to put wire around his garden
Billy wants to put wire around his garden to keep his dogs from digging his garden up. If the wire is only sold in whole foot how much wire does he have to by if the area of his garden is 620 sq ...
Rodney is putting away test tubes
Rodney is putting away test tubes in science class. He has 50 test tubes and 12 will fit on each rack. How many rack racks will rodney ...
James uses 1/3 of his land
James uses 1/3 of his land for growing durians 1/4 for bananas 3/8 for guavas and remaining 9 hectares for ...
Find 3 consecutive even numbers
Find 3 consecutive even numbers where the product of the smaller two numbers is 64 less than the square of the largest number.
At a well known university
At a well known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many underrgraduate students as there are graduate ...
Sarah spends 1/4 of her income
Sarah spends 1/4 of her income for transportation, 1/6 of her income for food, and 1/3 of her other income for rent and ...
simplifying radical expressions
The strength of a medication over time is represented by the equation y=200(1.5)
-x, where x represents the number of hours since the medication was taken and y represents the number of micrograms per milimeter left in in the blood. After 4...
Julia bought 3 boxes of candles
Julia bought 3 boxes of candles. Each box contained 4 candles. She kept 2 candles, gave the rest to Mary and told her to give half of them to ...
Jan invested $3600
Jan invested $3600, part at 8% and the rest at 7%. If the total income from the investments was $274...
Jamie buys a square tablecloth
Jamie buys a square tablecloth. The package label declares, the area of the cloth is 800 sq inches. What is the length of a side of the ...
An advertising company designs a campaign
An advertising company designs a campaign to introduce a new product to a metropolitan
area of population M = 3 millions. Let P = P(t) denote the number of people who become aware of
the product by time t. Suppose that P increases at a rate proportional to the number of
people still unaware of the product. The company determines that no one is aware of the
product at the beginning of the campaign and that 40% of the people were
aware of the product after 10 days of ...
A motorboat travels 30 miles
A motorboat travels 30 miles up a river and returned a distance of 27 miles. The entire trip takes 5 hours. If the rate of the motorboat in still water is 12 ...
The rat population in a major metropolitan city
The rat population in a major metropolitan city is given by the formula n(t)= 73 e
0.015 t where t is measured in years since 1990 and n(t) is measured in millions.
What was the rat population in 1990 ...
it takes three hours for a pipe
it takes three hours for a pipe to fill a tank of water if the tank does not leak. Our tank has a crack that draines the tank in 5 ...
One person says that numbers in radicals
One person says that numbers in radicals are useless because they do not have any real world relevance. Give a convincing practical example to show this person that they are very practical and we need ...
Farmer Joe has some chickens
Farmer Joe has some chickens. 1/3 of the chickens are roosters. 3/5 of the remaining were hens. There were 30 ...
How many yards of material
How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 3 1/2 yards long and 5 pieces, each 2 1/4 yards ...
Jon bought groceries
Jon bought groceries for $105.30 and paper product for $35.50. The total bill including tax was $142.93. There was no tax charged on the ...
Mrs. Wee bought 5 trays of eggs
Mrs. Wee bought 5 trays of eggs. Each tray contained 30 eggs. On her way home she fell and broke 2/5 of the eggs. She used 5/9 of the remaining ...
Four friends share a pizza
Four friends share a pizza. Maria ate one-third ,Ally and Mindy each ate one-frourth of the pizza and Bethany ate one-sixth.
A. into how many equal slices did they need to cut the pizza?
...
Sabrina and Samantha worked on weekends
Sabrina and Samantha worked on weekends and holidays. They were paid by the day, not the hour. Each of them earned the same whole number of dollars. Last month Sabrina earned $184 and Samantha earned $207...
The temperature on Monday
The temperature on Monday was 13 and on Tuesday was -5. What was the difference in the temperatures?_________
Find 4 consecutive even integers
Find 4 consecutive even integers where the product of the two smaller numbers is 56 less that the product of the two larger numbers.
A motor boat can travel
A motor boat can travel 20 mph in still water. If the boat can travel 3 miles down stream on a river in the same time it takes to travel 2 miles ...
The sum of two integers
The sum of two integers is -3. When the greater integer is subtracted from the lesser integer, the difference is -11...
There are 42 pupils in a class
There are 42 pupils in a class. 3/4 of the boys and 2/3 of the girls travel to school by bus. The total number of boys and girls who travel to school by bus is 30. How many boys are there in the ...
percents
Jill created a metal containing 47% silver by combining two other metals. One of these other metals weighed 4 lb. and contained 57% silver. If the other weighed 8 ...
percents
Scott made a nut mixture that contains 67% peanuts by mixing together 10 oz. of mixed nuts that contain 64% peanuts and 5 oz. of a different brand of mixed ...
Jim uses 1/3 of his land
Jim uses 1/3 of his land for growing durians. 3/8 for guavas. 1/4 for bananas and remaining 9 hectres for ...
Roma`s skates cost
Roma's skates cost $175. Every 2 weeks that she skates, she spends $4.50 on sharpening the blades. One year, she spent a total of $256 on the cost of skates and ...
There was 20 liters of milk at the refrigerator
There was 20 liters of milk at the refrigerator this morning. Jenny drank 7 5/6 liters of it. Along came Olivia who drank 1 2/5 liters of the milk. Then Sarah woke up and drank 3 2/8 of ...
radicals
Use the formula d=4.9t
2 for the distance d in meters an object will fall in t seconds. An object is dropped from an airplane 1,240 meters over the ...
You belong to a wholesale buying club
You belong to a wholesale buying club. You can order items from the club with a markup of 8% over the wholesale price. A local retail store, which gets its merchandise at the same wholesale price, offers to sell you those same items at 10% off the shelf ...
You get on a diet to lose excess weight
You get on a diet to lose excess weight of 80 pounds. You lost 25 percent of the excess. The following month, you take a vacation and increase your excess weight by 20 percent. You get on a diet again and lose 25 percent of the excess ...
