Question

Sean and Karen have visited several venues for their dinner and dance reception. They have narrowed the choice down to two locations. The Olympic Club will charge them a $2000 room rental and $65 per guest for dinner. The Fairmont Hotel will charge them $105 per guest.

Question: 2. If Sean and Karen prefer the Fairmont, and Sean's parents offer to pay $2000 more towards the reception, how many guests can attend without pushing Sean and Karen over their new reception budget?

Answer 1

As per my understanding from the question, we need to compute the guest that can attend without pushing the budget.

Let suppose x guest visits the reception.

So Cost for x persons in Olympic Club will be - $2,000 + 65x

and Cost for x persons in Fairmont Hotel will be - 105x

Let us see if both are equal then what value x takes -

2000 + 65x = 105x

40x = 2000

x= 50 persons

So we can say that 50 persons can visit without pushing the budget.

If you want to ask anything other than this, please comment, I will answer that part too.

Hope it helps. Thank You