
The number of sheets of paper available for making notebooks is 75000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?
Answer
493.2k+ views
Hint: First we will find the value of the total number of pages available by multiplying 8 and 75000. Then divide the total number of pages by 200. As a notebook contains 200 pages.
Complete step-by-step answer:
Given
It is given that each sheet makes 8 pages. Therefore, 75000 sheets will make,
\[75000 \times 8 = 6,00,000\] pages.
Hence, no. of pages available for making notebooks is 6,00,000.
It is given that 200 pages make one notebook. Therefore, 6,00,000 pages will make ,
\[\dfrac{{600000}}{{200}} = 3000\] notebooks.
Hence, 3000 notebooks can be made from the given sheets of paper.
Additional information: The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.
Applications of Unitary Method
The unitary method finds its practical application everywhere ranging from problems of speed, distance, time to the problems related to calculating the cost of materials.
The method is used for evaluating the price of a good.
It is used to find the time taken by a vehicle or a person to cover some distance in an hour.
It is used in business to determine profit and loss
Note: By using this method we can find the value of a unit from the value of a multiple, and hence value of multiple also. It is an easy method to find the value of multiple.
Complete step-by-step answer:
Given
It is given that each sheet makes 8 pages. Therefore, 75000 sheets will make,
\[75000 \times 8 = 6,00,000\] pages.
Hence, no. of pages available for making notebooks is 6,00,000.
It is given that 200 pages make one notebook. Therefore, 6,00,000 pages will make ,
\[\dfrac{{600000}}{{200}} = 3000\] notebooks.
Hence, 3000 notebooks can be made from the given sheets of paper.
Additional information: The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.
Applications of Unitary Method
The unitary method finds its practical application everywhere ranging from problems of speed, distance, time to the problems related to calculating the cost of materials.
The method is used for evaluating the price of a good.
It is used to find the time taken by a vehicle or a person to cover some distance in an hour.
It is used in business to determine profit and loss
Note: By using this method we can find the value of a unit from the value of a multiple, and hence value of multiple also. It is an easy method to find the value of multiple.
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