Question

Vihan spent ₹ 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs ₹ 3 more than the child ticket. 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. $\left\{\begin{array}{c}A=S+3\\ 4A+20S=132\end{array}\right\}$
• B. $\left\{\begin{array}{c}A=S+3\\ 20A+4S=132\end{array}\right\}$
• C. $\left\{\begin{array}{c}S=A+3\\ 20A+4S=132\end{array}\right\}$
• D. $\left\{\begin{array}{c}S=A+3\\ 4A+20S=132\end{array}\right\}$

Answer 1

The correct option is A $\left\{\begin{array}{c}A=S+3\\ 4A+20S=132\end{array}\right\}$

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
$\Rightarrow 4A+20S=132$