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A contractor sent 7695940 bricks for the construction of 70 chambers. If an equal number of bricks were required for each chamber, how many bricks were used for each chamber?A) 99762B) 148762C) 59642D) 109942

Last updated date: 12th Sep 2024
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Hint:
Here, we will use the concept of division to find the number of cartons. Division is an arithmetic operation in which a group of things is distributed in equal parts. Here we will divide the total number of bricks available for the construction by the number of chambers for the construction as equal numbers of bricks were required for each chamber. So, by this we will get the bricks used for each chamber.

Complete step by step solution:
It is given that a contractor sent 7695940 bricks for the construction.
The construction is of 70 chambers and equal numbers of bricks were required for each chamber, which means that each chamber is made up of the same number of bricks.
So, we will divide the total number of bricks available for the construction by the number of chambers. Therefore, we get
Bricks were used for each chamber $=$ Number of bricks $\div$ Number of chambers
Substituting 7695940 for number of bricks and 70 for number of chambers in the above equation, we get
$\Rightarrow$ Bricks were used for each chamber $= \dfrac{{7695940}}{{70}}$
Dividing the terms, we get
$\Rightarrow$ Bricks were used for each chamber $= 109942$
Hence the bricks used for each chamber is 109942.

So, option D is the correct option.

Note:
Here, we can make a mistake by multiplying the number of bricks to the number of chambers, this will give us the wrong answer. We have to divide the terms because we want the number of bricks used in each chamber. Multiplication operation is the inverse of division operation.