Question

At an event, a total participation fee of $900 was collected from participants
The equation representing the number of participants at career's talk is

• A. $y=\frac{4-x}{3}$
• B. $y=\frac{4}{3}-3x$
• C. $y=\frac{4}{3}-x$
• D. $y=4-\frac{x}{3}$

Answer 1

The correct option is D $y=4-\frac{x}{3}$

Fee collected from that parcipants for innovation talks = 75$x$
Fee collected from that parcipants for careers talk = 225$y$
Total fee collected = $\$$675
The equation relating $x$ and $y$ is 75$x$ + 225$y$ = 900

On simplifying the equation, we have:
225$y$ = 900 - 75$x$

$⟹$ $\frac{225}{75}y$ = $\frac{900}{75}$ - $\frac{75}{75}$$x$
$⟹$ 3$y$ = 12 - $x$
or
$⟹$ $y$ = 4 - $\frac{x}{3}$