Answer
Verified
377.7k+ views
Hint: First we have to assume that each type of coin is a single variable. Then we use the given total to find the number of coins. The sum of all types of coins multiplied their values results in Rs.450. We use this theme in solving this problem.
Complete step-by-step solution:
Let us consider the single variable as x such that,
Number of Rs.1 coins = 9x
Number of Rs.2 coins =7x
Number of 50 paise coins = 4x
Total amount in bag = Rs.450
The sum of all types of coins multiplied their values results in Rs.450
$ \Rightarrow 9x \times 1 + 7x \times 2 + 4x \times 0.5 = 450 \\
\Rightarrow 9x + 14x + 2x = 450 \\
\Rightarrow 11x + 14x = 450 \\
\Rightarrow 25x = 450 \\
\Rightarrow x = \dfrac{{450}}{{25}} \\
\Rightarrow x = 18 $
Therefore, the value of x =18
Number of Rs.1 coins = 9x = $9 \times 18 = 162$.
Number of Rs.2 coins=7x = $7 \times 18 = 126$.
Number of 50 paise coins =4x= $4 \times 18 = 72$.
Total number of coins = $162 + 126 + 72 = 360$.
Note: The problems like this need the perfect attention while reading the question. All this sort of questions containing ratio are initiated with considering a variable and the process is followed as per the given question and notion of application.
Complete step-by-step solution:
Let us consider the single variable as x such that,
Number of Rs.1 coins = 9x
Number of Rs.2 coins =7x
Number of 50 paise coins = 4x
Total amount in bag = Rs.450
The sum of all types of coins multiplied their values results in Rs.450
$ \Rightarrow 9x \times 1 + 7x \times 2 + 4x \times 0.5 = 450 \\
\Rightarrow 9x + 14x + 2x = 450 \\
\Rightarrow 11x + 14x = 450 \\
\Rightarrow 25x = 450 \\
\Rightarrow x = \dfrac{{450}}{{25}} \\
\Rightarrow x = 18 $
Therefore, the value of x =18
Number of Rs.1 coins = 9x = $9 \times 18 = 162$.
Number of Rs.2 coins=7x = $7 \times 18 = 126$.
Number of 50 paise coins =4x= $4 \times 18 = 72$.
Total number of coins = $162 + 126 + 72 = 360$.
Note: The problems like this need the perfect attention while reading the question. All this sort of questions containing ratio are initiated with considering a variable and the process is followed as per the given question and notion of application.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE