Question

The table below shows the fee collected at an event from the participants.
If a total sum of $\$$660 was collected, then which equation correctly represents the number of participants at the innovation talk?

• A. 2x = (11 - $\frac{12}{5}$y)
• B. x = (11 - $\frac{12}{5}$y)
• C. 2x = (55 - 12y)
• D. $\frac{2}{5}$x = (11 - $\frac{12}{5}$y)

Answer 1

The correct option is A 2x = (11 - $\frac{12}{5}$y)

Fee collected from Innovation talks
= 120x
Fee collected from Careers talk = 144y
Total fee collected = $\$$660
The equation relating x and y is
120x + 144y = 660

On simplifying the equation, we have:
120x = 660 - 144y

$⟹$ $\frac{120}{12}$x = $\frac{660}{12}$ - $\frac{144}{12}$y

$⟹$ 10x = 55 - 12y
or
$⟹$ 2x = (11 - $\frac{12}{5}$y)