There are 250 bricks used to build a wall that is 20 feet high. How many bricks will be used to build a wall that is 30 feet high?
Answer
605.4k+ views
Hint: In this problem, we are given that there are 250 bricks used to build a wall that is 20 feet high and we have to find the number of bricks that will be used to build a wall that is 30 feet high. Here we can see that the given data is based on direct comparison between two different quantities. We can now assume that the given problem is an example of direct proportion, as if the number of bricks increases, the height of the wall increases. We can write it in mathematical form to get the answer.
Complete step by step answer:
We are given that there are 250 bricks used to build a wall that is 20 feet high, we can write it as
\[\Rightarrow \dfrac{250}{20}\]
We have to find the number of bricks used to build a wall that is 30 feet high.
We can assume x as the unknown number of bricks.
We can now write it as,
\[\Rightarrow \dfrac{x}{30}\]
We know that the given problem is an example of direct proportion as if the number of brick increases, the height of the wall increases, we can now write it as,
\[\Rightarrow \dfrac{250}{20}=\dfrac{x}{30}\]
We can now solve the above step, we get
\[\Rightarrow x=30\times \dfrac{250}{20}=375\]
Therefore, 375 bricks are used to build 30 feet high walls.
Note: Students make mistakes while comparing the given data, as the given data is based on direct comparison between two different quantities. We should also remember that direct proportion is nothing but, if a quantity of one object increases, then the quantity of its relating result also increases.
Complete step by step answer:
We are given that there are 250 bricks used to build a wall that is 20 feet high, we can write it as
\[\Rightarrow \dfrac{250}{20}\]
We have to find the number of bricks used to build a wall that is 30 feet high.
We can assume x as the unknown number of bricks.
We can now write it as,
\[\Rightarrow \dfrac{x}{30}\]
We know that the given problem is an example of direct proportion as if the number of brick increases, the height of the wall increases, we can now write it as,
\[\Rightarrow \dfrac{250}{20}=\dfrac{x}{30}\]
We can now solve the above step, we get
\[\Rightarrow x=30\times \dfrac{250}{20}=375\]
Therefore, 375 bricks are used to build 30 feet high walls.
Note: Students make mistakes while comparing the given data, as the given data is based on direct comparison between two different quantities. We should also remember that direct proportion is nothing but, if a quantity of one object increases, then the quantity of its relating result also increases.
Recently Updated Pages
Find the greatest six digit number that is exactly class 8 maths CBSE

What is the time difference between India and Cana class 8 social science CBSE

Compare LPG and wood as fuels class 8 chemistry CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

30 opposite words in English from a to z class 8 english CBSE

How many cubic feet equals to 1 unit sand class 8 maths CBSE

Trending doubts
What is BLO What is the full form of BLO class 8 social science CBSE

Citizens of India can vote at the age of A 18 years class 8 social science CBSE

Full form of STD, ISD and PCO

One cusec is equal to how many liters class 8 maths CBSE

Who commanded the Hector the first British trading class 8 social science CBSE

What are the methods of reducing friction. Explain


