9th Class Mathematics Linear Equations in Two Variables Question Bank Linear Equations in Two Variables

  • question_answer
    Vihan spent \[Rs.\,\,132\] to buy movie tickets for \[20\] children and \[4\] adults. Adult tickets cost \[Rs.\,\,3\] more than child tickets. If \[A\] is the price of an adult ticket and \[S\] is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?

    A) \[\left\{ \begin{align}   & S=A+3 \\  & 4A+20S=132 \\ \end{align} \right.\]        

    B) \[\left\{ \begin{align}   & A=S+3 \\  & 4A+20S=132 \\ \end{align} \right.\]

    C)        \[\left\{ \begin{align}   & A=S+3 \\  & 20A+4S=132 \\ \end{align} \right.\]

    D)        \[\left\{ \begin{align}   & A=S+3 \\  & A+S=132 \\ \end{align} \right.\]

    Correct Answer: B

    Solution :

    Given, cost of an adult ticket = A cost of a child ticket = S \[\Rightarrow A=S+3\] Vihan spent 132 to buy tickets for 20 children and 4 adults \[\Rightarrow \]   \[4A+20S=132\]


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