Question

A boy wants to ride in a swing. The fare of the first five rides is $₹50$ and for subsequent ride, it is $₹7$ per ride. If the boy completes x rides of the swing and pays $₹y$, then a linear equation for this information can be written as

• A. $7x+y+15=0$
• B. $x–7y+15=0$
• C. $x+7y–15=0$
• D. $7x–y+15=0$

Answer 1

The correct option is D $7x–y+15=0$

Given that the fare of the first 5 rides is $₹50$ and, for subsequent ride, it is $₹7$ per ride. Also, the boy completes x rides of the swing.
Total fare, y = Fare of first 5 rides + Fare of subsequent (x – 5) rides
$\Rightarrow y=50+7(x–5)$
$\Rightarrow y=50+7x–35$
$\Rightarrow y=15+7x$
$\Rightarrow 7x–y+15=0$
Hence, the correct answer is option (d).