Introduction to the word problems with solution:
In mathematics the word problem for a recursively presented group G is the algorithmic problem of deciding whether two words represent the same element. Although it is common to speak of the word problem for the group G strictly speaking it is a presentation of the group that does or does not have solvable word problem.
Steps for solving the word problems:
Convert the phrasing into a numeric equation
that combines smaller "expressions"
Solve the equation.
Example for Word Problems with Solutions
Area/volume/perimeter problems:
A square contains area of 16 square centimeters. What is the length of every side?
Sol:
A of a square with side-length s is the formula for area:
A = s2
Here area has given, so we can insert this value into the area formula, and distinguish what it leads:
16 = s2
4 = s
Therefore, the length of every side is 4 centimeters.
Percent problem:
Jason got 30 marks in his term test. He wants to know the percentage of marks out of 40?
Sol:
Jason had the actual mark (30) and the relative mark (40). The unfamiliar in this problem is the rate or percentage. Because the report is (40) is (some percentage) of (30), in that case the variable stands for the percentage, and the equation is:
40 = (x) (30)
40 ÷ 30 = x = 1.33
Because x situate for a percentage, we want to consider translating this decimal back into a percentage:
1.33 = 133%
30 is 133% of 20.
Jason percentage is 133%.
Investment problem:
We deposit 1000 dollars into a savings yielding 6% yearly interest; we leave that money for 2 years. How much interest achieves you get at that end of the 2 years?
Sol:
In this situation, P = 1000 dollars, r = 0.06 (because we have to transfer the percent to decimal form), then the time is t = 2. From this we can get:
I = (1000) (0.06) (2) = 120
Therefore the interest is 120 dollars.
Time and distance:
John travelling in his bike with a speed of 25 m / sec. Help John to convert his speed in km / hr.
Sol:
John's Speed = 25 m / sec
To convert the speed in km/hr multiply 25 by 18/5
Therefore Speed in km/hr = 25 * 18 / 5
John's speed is 90 km / hr.
Practice Problems on Word Problems with Solutions:
1.) A tunnel is 160 m long. A car crosses it in 10 seconds. Find its speed?
Solution:
16 m / sec
2.) Find the volume of brick whose dimensions are 2.8 cm * 0.5 dm * 0.7 dm?
Solution:
98 CubicCentimeters.
In mathematics the word problem for a recursively presented group G is the algorithmic problem of deciding whether two words represent the same element. Although it is common to speak of the word problem for the group G strictly speaking it is a presentation of the group that does or does not have solvable word problem.
Steps for solving the word problems:
Convert the phrasing into a numeric equation
that combines smaller "expressions"
Solve the equation.
Example for Word Problems with Solutions
Area/volume/perimeter problems:
A square contains area of 16 square centimeters. What is the length of every side?
Sol:
A of a square with side-length s is the formula for area:
A = s2
Here area has given, so we can insert this value into the area formula, and distinguish what it leads:
16 = s2
4 = s
Therefore, the length of every side is 4 centimeters.
Percent problem:
Jason got 30 marks in his term test. He wants to know the percentage of marks out of 40?
Sol:
Jason had the actual mark (30) and the relative mark (40). The unfamiliar in this problem is the rate or percentage. Because the report is (40) is (some percentage) of (30), in that case the variable stands for the percentage, and the equation is:
40 = (x) (30)
40 ÷ 30 = x = 1.33
Because x situate for a percentage, we want to consider translating this decimal back into a percentage:
1.33 = 133%
30 is 133% of 20.
Jason percentage is 133%.
Investment problem:
We deposit 1000 dollars into a savings yielding 6% yearly interest; we leave that money for 2 years. How much interest achieves you get at that end of the 2 years?
Sol:
In this situation, P = 1000 dollars, r = 0.06 (because we have to transfer the percent to decimal form), then the time is t = 2. From this we can get:
I = (1000) (0.06) (2) = 120
Therefore the interest is 120 dollars.
Time and distance:
John travelling in his bike with a speed of 25 m / sec. Help John to convert his speed in km / hr.
Sol:
John's Speed = 25 m / sec
To convert the speed in km/hr multiply 25 by 18/5
Therefore Speed in km/hr = 25 * 18 / 5
John's speed is 90 km / hr.
Practice Problems on Word Problems with Solutions:
1.) A tunnel is 160 m long. A car crosses it in 10 seconds. Find its speed?
Solution:
16 m / sec
2.) Find the volume of brick whose dimensions are 2.8 cm * 0.5 dm * 0.7 dm?
Solution:
98 CubicCentimeters.
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