Meena went to a bank to withdraw Rs.2000. She asked the cashier to give her Rs.50 and Rs.100 notes only. Meena got 25 notes in all. Find how many notes of Rs.50 and Rs.100 she received.
Last updated date: 24th Mar 2023
•
Total views: 307.8k
•
Views today: 5.84k
Answer
307.8k+ views
Hint: The question is related to the linear equation in two variables. Try to make two equations using the information given in the problem statement and solve them simultaneously.
Complete step-by-step answer:
Complete step-by-step answer: In the question, it is given that Meena withdrew \[Rs.2000\] from a bank in the form of notes of $Rs.50$ and $Rs.100$. It is also given that she got $25$ notes in all. So, we will consider $x$ as the number of $Rs.50$ notes received by Meena and $y$ as the number of $Rs.100$ notes received by Meena.
Now, in the first case, it is given that Meena withdrew \[Rs.2000\] from a bank in the form of notes of $Rs.50$ and $Rs.100$. So, the amount in the form of $Rs.50$ notes is equal to $50\times x=Rs.50x$. Also, the amount in the form of $Rs.100$ notes is equal to $100\times y=Rs.100y$. So, the total amount will be $Rs.\left( 50x+100y \right)$. But it is given that the total amount withdrawn is \[Rs.2000\]. So,
$50x+100y=2000..........(i)$
Now, we have considered $x$ as the number of $Rs.50$ notes received by Meena and $y$ as the number of $Rs.100$ notes received by Meena. So, the total number of notes will be equal to $x+y$. But it is given that the total number of notes is equal to $25$. So,
$x+y=25.....(ii)$
Now, we will solve the linear equations to find the values of $x$ and $y$.
From equation$(ii)$, we have $x+y=25$
$\Rightarrow y=25-x$
On substituting $y=25-x$ in equation$(i)$, we get
$50x+100\left( 25-x \right)=2000$
$\Rightarrow 50x+2500-100x=2000$
$\Rightarrow 500-50x=0$
$\Rightarrow 50x=500$
$\Rightarrow x=10$
Now, substituting \[x=10\] in equation$(ii)$, we get
$10+y=25$
\[\Rightarrow y=15\]
Hence, the numbers of $Rs.50$ notes and \[Rs.100\] notes that are received by Meena from the cashier are $10$ and $15$ respectively.
Note: While solving this question we can assume the number of RS.50 notes as x and RS.100 notes as (25-x). By this substitution we get a linear equation in one variable. We can find the value of x by solving the linear equation in one variable.
Complete step-by-step answer:
Complete step-by-step answer: In the question, it is given that Meena withdrew \[Rs.2000\] from a bank in the form of notes of $Rs.50$ and $Rs.100$. It is also given that she got $25$ notes in all. So, we will consider $x$ as the number of $Rs.50$ notes received by Meena and $y$ as the number of $Rs.100$ notes received by Meena.
Now, in the first case, it is given that Meena withdrew \[Rs.2000\] from a bank in the form of notes of $Rs.50$ and $Rs.100$. So, the amount in the form of $Rs.50$ notes is equal to $50\times x=Rs.50x$. Also, the amount in the form of $Rs.100$ notes is equal to $100\times y=Rs.100y$. So, the total amount will be $Rs.\left( 50x+100y \right)$. But it is given that the total amount withdrawn is \[Rs.2000\]. So,
$50x+100y=2000..........(i)$
Now, we have considered $x$ as the number of $Rs.50$ notes received by Meena and $y$ as the number of $Rs.100$ notes received by Meena. So, the total number of notes will be equal to $x+y$. But it is given that the total number of notes is equal to $25$. So,
$x+y=25.....(ii)$
Now, we will solve the linear equations to find the values of $x$ and $y$.
From equation$(ii)$, we have $x+y=25$
$\Rightarrow y=25-x$
On substituting $y=25-x$ in equation$(i)$, we get
$50x+100\left( 25-x \right)=2000$
$\Rightarrow 50x+2500-100x=2000$
$\Rightarrow 500-50x=0$
$\Rightarrow 50x=500$
$\Rightarrow x=10$
Now, substituting \[x=10\] in equation$(ii)$, we get
$10+y=25$
\[\Rightarrow y=15\]
Hence, the numbers of $Rs.50$ notes and \[Rs.100\] notes that are received by Meena from the cashier are $10$ and $15$ respectively.
Note: While solving this question we can assume the number of RS.50 notes as x and RS.100 notes as (25-x). By this substitution we get a linear equation in one variable. We can find the value of x by solving the linear equation in one variable.
Recently Updated Pages
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India
