Answer
Verified
425.7k+ views
Hint: Assume a variable x which represents the cost of each bat and assume a variable y which represents the cost of each ball. Apply the two situations that are given in the question to get two equations. These two equations can be solved together to get the value of two variables.
In this question, we are given that 7 bats and 6 balls had cost Rs. 3800 and 3 bats and 5 balls had cost Rs. 1750. We are required to find the cost for each bat and each ball.
Let us assume that each bat had a cost of Rs. x and each ball had a cost of Rs. y.
It is given that 7 bats and 6 balls had cost Rs. 3800. So, we can write,
$7x+6y=3800............\left( 1 \right)$
Also, it is given that 3 bats and 5 balls had cost Rs. 1750. So, we can write,
$3x+5y=1750...........\left( 2 \right)$
By solving these two equations simultaneously, we can find x and y. Multiplying equation $\left( 1 \right)$ by 3 and equation $\left( 2 \right)$ by 7, we get,
$21x+18y=11400............\left( 3 \right)$
$21x+35y=12250............\left( 4 \right)$
Subtracting the above two equations, we get,
$\begin{align}
& \left( 21x+35y \right)-\left( 21x+18y \right)=12250-11400 \\
& \Rightarrow 17y=850 \\
& \Rightarrow y=50 \\
\end{align}$
Substituting y=50 in equation $\left( 1 \right)$, we get,
$\begin{align}
& 7x+6\left( 50 \right)=3800 \\
& \Rightarrow 7x+300=3800 \\
& \Rightarrow 7x=3500 \\
& \Rightarrow x=500 \\
\end{align}$
Hence, the cost of each bat is equal to Rs. 500 and each ball is equal to Rs. 50.
Note: To check whether we have got the correct answer or not, just substitute the obtained values of x and y in any of the equation $\left( 1 \right)$ and equation $\left( 2 \right)$. If the obtained value of x and y satisfies the equation, we have obtained a correct value of x and y.
In this question, we are given that 7 bats and 6 balls had cost Rs. 3800 and 3 bats and 5 balls had cost Rs. 1750. We are required to find the cost for each bat and each ball.
Let us assume that each bat had a cost of Rs. x and each ball had a cost of Rs. y.
It is given that 7 bats and 6 balls had cost Rs. 3800. So, we can write,
$7x+6y=3800............\left( 1 \right)$
Also, it is given that 3 bats and 5 balls had cost Rs. 1750. So, we can write,
$3x+5y=1750...........\left( 2 \right)$
By solving these two equations simultaneously, we can find x and y. Multiplying equation $\left( 1 \right)$ by 3 and equation $\left( 2 \right)$ by 7, we get,
$21x+18y=11400............\left( 3 \right)$
$21x+35y=12250............\left( 4 \right)$
Subtracting the above two equations, we get,
$\begin{align}
& \left( 21x+35y \right)-\left( 21x+18y \right)=12250-11400 \\
& \Rightarrow 17y=850 \\
& \Rightarrow y=50 \\
\end{align}$
Substituting y=50 in equation $\left( 1 \right)$, we get,
$\begin{align}
& 7x+6\left( 50 \right)=3800 \\
& \Rightarrow 7x+300=3800 \\
& \Rightarrow 7x=3500 \\
& \Rightarrow x=500 \\
\end{align}$
Hence, the cost of each bat is equal to Rs. 500 and each ball is equal to Rs. 50.
Note: To check whether we have got the correct answer or not, just substitute the obtained values of x and y in any of the equation $\left( 1 \right)$ and equation $\left( 2 \right)$. If the obtained value of x and y satisfies the equation, we have obtained a correct value of x and y.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE