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SAINT LOUIS UNIVERSITYSCHOOL OF COMPUTING AND INFORMATION SCIENCES

DEPARTMENT OF MATHEMATICS

WORD PROBLEMSNAME: AMLA, ADRIAN DAVE N.

LENGTH PROBLEMS

Problem 1:A 12 – ft. rope is cut into three pieces so that the second piece is 1 ft. longer than the first and third piece is 1 ft. longer than the second. How long are the pieces?

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Problem 2:A 9 – ft. board is cut into two pieces so that one piece is twice the other. How long are the pieces?

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AGE PROBLEMS

Problem 1:Elsa is 7 years younger than Thor. The sum of their ages is 35. How old are they?

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Problem 2:The sum of the ages of Jessica, her mother, and her grandmother is 100 years. The grandma is twice as old as the mother. Jessica’s mother is 28 years older than Jessica. How old is grandma?

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NUMBER PROBLEMS

Problem 1:Find five consecutive odd integers whose sum is 55.

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Problem 2:Find the largest of three consecutive even integers when six times the first integer is equal to five times the middle integer.

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SIMPLE INTEREST PROBLEMS

Simple Interest Formula:

Interest = (Principal) x (rate) x (time)

I = Prt

Problem 1:If you borrow $600 for a 1 year and repay the whole loan at the end of the year with $636 including simple interest, what rate of interest are you paying.

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COIN PROBLEMS

Problem 1:Michael has 60 coins consisting of nickles and dimes. Their total value is $5.00. How many of each coin does he have?

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MIXTURE PROBLEMS

Problem 1:How many liters of a 20% alcohol solution must be added to 80 liters of a 50% alcohol solution to form a 45% solution?

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Problem 2:How much water should be added to 4 liters of 90% alcohol to make a 40% alcohol solution?

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RATIO AND PROPORTION

Problem 1:Liam is 6 ft. tall. He wishes to know how tall the flagpole at his school is. He measures his own shadow, which is 8 ft., and the shadow of the flagpole, which is 48 ft. What is the height of the flagpole?

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RATE PROBLEMS

Problem 1:Beatrice drives her car for 3 hours at a certain speed, and then increases the speed by 10 mph for the next 2 hours. The total distance she drove was 270 miles. Determine the two different speeds.

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WORK PROBLEMS

Problem 1:It takes Nils 3 hours to mow the lawn but, with the help of Jonas, he can finish in 2 hours. How long would it take Jonas to do the job alone?

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Problem 2:A large tank can be filled by one pipe in 20 hours. A second pipe can fill the tank in 15 hours. If the first pipe was open for 16 hours and then closed, how long would it take to fill the tank if the second inlet pipe was opened after the first was closed?

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